Anomalous and linear holographic hard wall models for light unflavored mesons
Abstract: In this work we consider anomalous and linear holographic hard wall (HW) models for light unflavored mesons inspired by the AdS/CFT correspondence. The anomalous dimensions depend on the logarithm of the spin S of the meson state and come from a semiclassical analysis of gauge/string duality. The anomalous HW model produces very good masses and good Regge trajectories for mesons compared with PDG data. Inspired by this anomalous HW model we also propose a phenomenological modification of the dimension of the boundary operators such that the model produces asymptotic linear Regge trajectories. Both anomalous HW models considered here present mass percentage deviations of less than 3%, when compared with PDG data.
- J. Casalderrey-Solana, H. Liu, D. Mateos, K. Rajagopal and U. A. Wiedemann, “Gauge/String Duality, Hot QCD and Heavy Ion Collisions,” Cambridge University Press, 2014, doi:10.1017/9781009403504 [arXiv:1101.0618 [hep-th]]. (5) J. Zaanen, Y. W. Sun, Y. Liu and K. Schalm, “Holographic Duality in Condensed Matter Physics,” Cambridge Univ. Press, 2015, doi:10.1017/CBO9781139942492 (6) H. Boschi-Filho and N. R. F. Braga, “Gauge / string duality and scalar glueball mass ratios,” JHEP 05, 009 (2003) doi:10.1088/1126-6708/2003/05/009 [arXiv:hep-th/0212207 [hep-th]]. (7) H. Boschi-Filho and N. R. F. Braga, “QCD / string holographic mapping and glueball mass spectrum,” Eur. Phys. J. C 32, 529-533 (2004) doi:10.1140/epjc/s2003-01526-4 [arXiv:hep-th/0209080 [hep-th]]. (8) G. F. de Teramond and S. J. Brodsky, “Hadronic spectrum of a holographic dual of QCD,” Phys. Rev. Lett. 94, 201601 (2005) doi:10.1103/PhysRevLett.94.201601 [arXiv:hep-th/0501022 [hep-th]]. (9) J. Erlich, E. Katz, D. T. 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Braga, “QCD / string holographic mapping and glueball mass spectrum,” Eur. Phys. J. C 32, 529-533 (2004) doi:10.1140/epjc/s2003-01526-4 [arXiv:hep-th/0209080 [hep-th]]. (8) G. F. de Teramond and S. J. Brodsky, “Hadronic spectrum of a holographic dual of QCD,” Phys. Rev. Lett. 94, 201601 (2005) doi:10.1103/PhysRevLett.94.201601 [arXiv:hep-th/0501022 [hep-th]]. (9) J. Erlich, E. Katz, D. T. Son and M. A. Stephanov, “QCD and a holographic model of hadrons,” Phys. Rev. Lett. 95, 261602 (2005) doi:10.1103/PhysRevLett.95.261602 [arXiv:hep-ph/0501128 [hep-ph]]. (10) H. Boschi-Filho, N. R. F. Braga and H. L. Carrion, “Glueball Regge trajectories from gauge/string duality and the Pomeron,” Phys. Rev. D 73, 047901 (2006) doi:10.1103/PhysRevD.73.047901 [arXiv:hep-th/0507063 [hep-th]]. (11) A. Karch, E. Katz, D. T. Son and M. A. Stephanov, “Linear confinement and AdS/QCD,” Phys. Rev. D 74, 015005 (2006) doi:10.1103/PhysRevD.74.015005 [arXiv:hep-ph/0602229 [hep-ph]]. (12) P. Colangelo, F. De Fazio, F. Giannuzzi, F. Jugeau and S. Nicotri, “Light scalar mesons in the soft-wall model of AdS/QCD,” Phys. Rev. D 78, 055009 (2008) doi:10.1103/PhysRevD.78.055009 [arXiv:0807.1054 [hep-ph]]. (13) S. S. Gubser, I. R. Klebanov and A. M. Polyakov, “A Semiclassical limit of the gauge / string correspondence,” Nucl. Phys. B 636, 99-114 (2002) doi:10.1016/S0550-3213(02)00373-5 [arXiv:hep-th/0204051 [hep-th]]. (14) R. A. Costa-Silva and H. Boschi-Filho, “Anomalous and linear holographic hard wall models for glueballs and the pomeron,” Phys. Rev. D 109, no.8, 086019 (2024) doi:10.1103/PhysRevD.109.086019 [arXiv:2306.04728 [hep-ph]]. (15) R. L. Workman et al. [Particle Data Group], “Review of Particle Physics,” PTEP 2022, 083C01 (2022) doi:10.1093/ptep/ptac097 (16) J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]]. H. Boschi-Filho and N. R. F. Braga, “Gauge / string duality and scalar glueball mass ratios,” JHEP 05, 009 (2003) doi:10.1088/1126-6708/2003/05/009 [arXiv:hep-th/0212207 [hep-th]]. (7) H. Boschi-Filho and N. R. F. Braga, “QCD / string holographic mapping and glueball mass spectrum,” Eur. Phys. J. C 32, 529-533 (2004) doi:10.1140/epjc/s2003-01526-4 [arXiv:hep-th/0209080 [hep-th]]. (8) G. F. de Teramond and S. J. Brodsky, “Hadronic spectrum of a holographic dual of QCD,” Phys. Rev. Lett. 94, 201601 (2005) doi:10.1103/PhysRevLett.94.201601 [arXiv:hep-th/0501022 [hep-th]]. (9) J. Erlich, E. Katz, D. T. Son and M. A. Stephanov, “QCD and a holographic model of hadrons,” Phys. Rev. Lett. 95, 261602 (2005) doi:10.1103/PhysRevLett.95.261602 [arXiv:hep-ph/0501128 [hep-ph]]. (10) H. Boschi-Filho, N. R. F. Braga and H. L. Carrion, “Glueball Regge trajectories from gauge/string duality and the Pomeron,” Phys. Rev. D 73, 047901 (2006) doi:10.1103/PhysRevD.73.047901 [arXiv:hep-th/0507063 [hep-th]]. (11) A. Karch, E. Katz, D. T. Son and M. A. Stephanov, “Linear confinement and AdS/QCD,” Phys. Rev. D 74, 015005 (2006) doi:10.1103/PhysRevD.74.015005 [arXiv:hep-ph/0602229 [hep-ph]]. (12) P. Colangelo, F. De Fazio, F. Giannuzzi, F. Jugeau and S. Nicotri, “Light scalar mesons in the soft-wall model of AdS/QCD,” Phys. Rev. D 78, 055009 (2008) doi:10.1103/PhysRevD.78.055009 [arXiv:0807.1054 [hep-ph]]. (13) S. S. Gubser, I. R. Klebanov and A. M. Polyakov, “A Semiclassical limit of the gauge / string correspondence,” Nucl. Phys. B 636, 99-114 (2002) doi:10.1016/S0550-3213(02)00373-5 [arXiv:hep-th/0204051 [hep-th]]. (14) R. A. Costa-Silva and H. Boschi-Filho, “Anomalous and linear holographic hard wall models for glueballs and the pomeron,” Phys. Rev. D 109, no.8, 086019 (2024) doi:10.1103/PhysRevD.109.086019 [arXiv:2306.04728 [hep-ph]]. (15) R. L. Workman et al. [Particle Data Group], “Review of Particle Physics,” PTEP 2022, 083C01 (2022) doi:10.1093/ptep/ptac097 (16) J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]]. H. Boschi-Filho and N. R. F. Braga, “QCD / string holographic mapping and glueball mass spectrum,” Eur. Phys. J. C 32, 529-533 (2004) doi:10.1140/epjc/s2003-01526-4 [arXiv:hep-th/0209080 [hep-th]]. (8) G. F. de Teramond and S. J. Brodsky, “Hadronic spectrum of a holographic dual of QCD,” Phys. Rev. Lett. 94, 201601 (2005) doi:10.1103/PhysRevLett.94.201601 [arXiv:hep-th/0501022 [hep-th]]. (9) J. Erlich, E. Katz, D. T. Son and M. A. Stephanov, “QCD and a holographic model of hadrons,” Phys. Rev. Lett. 95, 261602 (2005) doi:10.1103/PhysRevLett.95.261602 [arXiv:hep-ph/0501128 [hep-ph]]. (10) H. Boschi-Filho, N. R. F. Braga and H. L. Carrion, “Glueball Regge trajectories from gauge/string duality and the Pomeron,” Phys. Rev. D 73, 047901 (2006) doi:10.1103/PhysRevD.73.047901 [arXiv:hep-th/0507063 [hep-th]]. (11) A. Karch, E. Katz, D. T. Son and M. A. Stephanov, “Linear confinement and AdS/QCD,” Phys. Rev. D 74, 015005 (2006) doi:10.1103/PhysRevD.74.015005 [arXiv:hep-ph/0602229 [hep-ph]]. (12) P. Colangelo, F. De Fazio, F. Giannuzzi, F. Jugeau and S. Nicotri, “Light scalar mesons in the soft-wall model of AdS/QCD,” Phys. Rev. D 78, 055009 (2008) doi:10.1103/PhysRevD.78.055009 [arXiv:0807.1054 [hep-ph]]. (13) S. S. Gubser, I. R. Klebanov and A. M. Polyakov, “A Semiclassical limit of the gauge / string correspondence,” Nucl. Phys. B 636, 99-114 (2002) doi:10.1016/S0550-3213(02)00373-5 [arXiv:hep-th/0204051 [hep-th]]. (14) R. A. Costa-Silva and H. Boschi-Filho, “Anomalous and linear holographic hard wall models for glueballs and the pomeron,” Phys. Rev. D 109, no.8, 086019 (2024) doi:10.1103/PhysRevD.109.086019 [arXiv:2306.04728 [hep-ph]]. (15) R. L. Workman et al. [Particle Data Group], “Review of Particle Physics,” PTEP 2022, 083C01 (2022) doi:10.1093/ptep/ptac097 (16) J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]]. G. F. de Teramond and S. J. Brodsky, “Hadronic spectrum of a holographic dual of QCD,” Phys. Rev. Lett. 94, 201601 (2005) doi:10.1103/PhysRevLett.94.201601 [arXiv:hep-th/0501022 [hep-th]]. (9) J. Erlich, E. Katz, D. T. Son and M. A. Stephanov, “QCD and a holographic model of hadrons,” Phys. Rev. Lett. 95, 261602 (2005) doi:10.1103/PhysRevLett.95.261602 [arXiv:hep-ph/0501128 [hep-ph]]. (10) H. Boschi-Filho, N. R. F. Braga and H. L. Carrion, “Glueball Regge trajectories from gauge/string duality and the Pomeron,” Phys. Rev. D 73, 047901 (2006) doi:10.1103/PhysRevD.73.047901 [arXiv:hep-th/0507063 [hep-th]]. (11) A. Karch, E. Katz, D. T. Son and M. A. Stephanov, “Linear confinement and AdS/QCD,” Phys. Rev. D 74, 015005 (2006) doi:10.1103/PhysRevD.74.015005 [arXiv:hep-ph/0602229 [hep-ph]]. (12) P. Colangelo, F. De Fazio, F. Giannuzzi, F. Jugeau and S. Nicotri, “Light scalar mesons in the soft-wall model of AdS/QCD,” Phys. Rev. D 78, 055009 (2008) doi:10.1103/PhysRevD.78.055009 [arXiv:0807.1054 [hep-ph]]. (13) S. S. Gubser, I. R. Klebanov and A. M. Polyakov, “A Semiclassical limit of the gauge / string correspondence,” Nucl. Phys. B 636, 99-114 (2002) doi:10.1016/S0550-3213(02)00373-5 [arXiv:hep-th/0204051 [hep-th]]. (14) R. A. Costa-Silva and H. Boschi-Filho, “Anomalous and linear holographic hard wall models for glueballs and the pomeron,” Phys. Rev. D 109, no.8, 086019 (2024) doi:10.1103/PhysRevD.109.086019 [arXiv:2306.04728 [hep-ph]]. (15) R. L. Workman et al. [Particle Data Group], “Review of Particle Physics,” PTEP 2022, 083C01 (2022) doi:10.1093/ptep/ptac097 (16) J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]]. J. Erlich, E. Katz, D. T. Son and M. A. Stephanov, “QCD and a holographic model of hadrons,” Phys. Rev. Lett. 95, 261602 (2005) doi:10.1103/PhysRevLett.95.261602 [arXiv:hep-ph/0501128 [hep-ph]]. (10) H. Boschi-Filho, N. R. F. Braga and H. L. Carrion, “Glueball Regge trajectories from gauge/string duality and the Pomeron,” Phys. Rev. D 73, 047901 (2006) doi:10.1103/PhysRevD.73.047901 [arXiv:hep-th/0507063 [hep-th]]. (11) A. Karch, E. Katz, D. T. Son and M. A. Stephanov, “Linear confinement and AdS/QCD,” Phys. Rev. D 74, 015005 (2006) doi:10.1103/PhysRevD.74.015005 [arXiv:hep-ph/0602229 [hep-ph]]. (12) P. Colangelo, F. De Fazio, F. Giannuzzi, F. Jugeau and S. Nicotri, “Light scalar mesons in the soft-wall model of AdS/QCD,” Phys. Rev. D 78, 055009 (2008) doi:10.1103/PhysRevD.78.055009 [arXiv:0807.1054 [hep-ph]]. (13) S. S. Gubser, I. R. Klebanov and A. M. Polyakov, “A Semiclassical limit of the gauge / string correspondence,” Nucl. Phys. B 636, 99-114 (2002) doi:10.1016/S0550-3213(02)00373-5 [arXiv:hep-th/0204051 [hep-th]]. (14) R. A. Costa-Silva and H. Boschi-Filho, “Anomalous and linear holographic hard wall models for glueballs and the pomeron,” Phys. Rev. D 109, no.8, 086019 (2024) doi:10.1103/PhysRevD.109.086019 [arXiv:2306.04728 [hep-ph]]. (15) R. L. Workman et al. [Particle Data Group], “Review of Particle Physics,” PTEP 2022, 083C01 (2022) doi:10.1093/ptep/ptac097 (16) J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]]. H. Boschi-Filho, N. R. F. Braga and H. L. Carrion, “Glueball Regge trajectories from gauge/string duality and the Pomeron,” Phys. Rev. D 73, 047901 (2006) doi:10.1103/PhysRevD.73.047901 [arXiv:hep-th/0507063 [hep-th]]. (11) A. Karch, E. Katz, D. T. Son and M. A. Stephanov, “Linear confinement and AdS/QCD,” Phys. Rev. D 74, 015005 (2006) doi:10.1103/PhysRevD.74.015005 [arXiv:hep-ph/0602229 [hep-ph]]. (12) P. Colangelo, F. De Fazio, F. Giannuzzi, F. Jugeau and S. Nicotri, “Light scalar mesons in the soft-wall model of AdS/QCD,” Phys. Rev. D 78, 055009 (2008) doi:10.1103/PhysRevD.78.055009 [arXiv:0807.1054 [hep-ph]]. (13) S. S. Gubser, I. R. Klebanov and A. M. Polyakov, “A Semiclassical limit of the gauge / string correspondence,” Nucl. Phys. B 636, 99-114 (2002) doi:10.1016/S0550-3213(02)00373-5 [arXiv:hep-th/0204051 [hep-th]]. (14) R. A. Costa-Silva and H. Boschi-Filho, “Anomalous and linear holographic hard wall models for glueballs and the pomeron,” Phys. Rev. D 109, no.8, 086019 (2024) doi:10.1103/PhysRevD.109.086019 [arXiv:2306.04728 [hep-ph]]. (15) R. L. Workman et al. [Particle Data Group], “Review of Particle Physics,” PTEP 2022, 083C01 (2022) doi:10.1093/ptep/ptac097 (16) J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]]. A. Karch, E. Katz, D. T. Son and M. A. Stephanov, “Linear confinement and AdS/QCD,” Phys. Rev. D 74, 015005 (2006) doi:10.1103/PhysRevD.74.015005 [arXiv:hep-ph/0602229 [hep-ph]]. (12) P. Colangelo, F. De Fazio, F. Giannuzzi, F. Jugeau and S. Nicotri, “Light scalar mesons in the soft-wall model of AdS/QCD,” Phys. Rev. D 78, 055009 (2008) doi:10.1103/PhysRevD.78.055009 [arXiv:0807.1054 [hep-ph]]. (13) S. S. Gubser, I. R. Klebanov and A. M. Polyakov, “A Semiclassical limit of the gauge / string correspondence,” Nucl. Phys. B 636, 99-114 (2002) doi:10.1016/S0550-3213(02)00373-5 [arXiv:hep-th/0204051 [hep-th]]. (14) R. A. Costa-Silva and H. Boschi-Filho, “Anomalous and linear holographic hard wall models for glueballs and the pomeron,” Phys. Rev. D 109, no.8, 086019 (2024) doi:10.1103/PhysRevD.109.086019 [arXiv:2306.04728 [hep-ph]]. (15) R. L. Workman et al. [Particle Data Group], “Review of Particle Physics,” PTEP 2022, 083C01 (2022) doi:10.1093/ptep/ptac097 (16) J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]]. P. Colangelo, F. De Fazio, F. Giannuzzi, F. Jugeau and S. Nicotri, “Light scalar mesons in the soft-wall model of AdS/QCD,” Phys. Rev. D 78, 055009 (2008) doi:10.1103/PhysRevD.78.055009 [arXiv:0807.1054 [hep-ph]]. (13) S. S. Gubser, I. R. Klebanov and A. M. Polyakov, “A Semiclassical limit of the gauge / string correspondence,” Nucl. Phys. B 636, 99-114 (2002) doi:10.1016/S0550-3213(02)00373-5 [arXiv:hep-th/0204051 [hep-th]]. (14) R. A. Costa-Silva and H. Boschi-Filho, “Anomalous and linear holographic hard wall models for glueballs and the pomeron,” Phys. Rev. D 109, no.8, 086019 (2024) doi:10.1103/PhysRevD.109.086019 [arXiv:2306.04728 [hep-ph]]. (15) R. L. Workman et al. [Particle Data Group], “Review of Particle Physics,” PTEP 2022, 083C01 (2022) doi:10.1093/ptep/ptac097 (16) J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]]. S. S. Gubser, I. R. Klebanov and A. M. Polyakov, “A Semiclassical limit of the gauge / string correspondence,” Nucl. Phys. B 636, 99-114 (2002) doi:10.1016/S0550-3213(02)00373-5 [arXiv:hep-th/0204051 [hep-th]]. (14) R. A. Costa-Silva and H. Boschi-Filho, “Anomalous and linear holographic hard wall models for glueballs and the pomeron,” Phys. Rev. D 109, no.8, 086019 (2024) doi:10.1103/PhysRevD.109.086019 [arXiv:2306.04728 [hep-ph]]. (15) R. L. Workman et al. [Particle Data Group], “Review of Particle Physics,” PTEP 2022, 083C01 (2022) doi:10.1093/ptep/ptac097 (16) J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]]. R. A. Costa-Silva and H. Boschi-Filho, “Anomalous and linear holographic hard wall models for glueballs and the pomeron,” Phys. Rev. D 109, no.8, 086019 (2024) doi:10.1103/PhysRevD.109.086019 [arXiv:2306.04728 [hep-ph]]. (15) R. L. Workman et al. [Particle Data Group], “Review of Particle Physics,” PTEP 2022, 083C01 (2022) doi:10.1093/ptep/ptac097 (16) J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]]. R. L. Workman et al. [Particle Data Group], “Review of Particle Physics,” PTEP 2022, 083C01 (2022) doi:10.1093/ptep/ptac097 (16) J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]]. J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]].
- J. Zaanen, Y. W. Sun, Y. Liu and K. Schalm, “Holographic Duality in Condensed Matter Physics,” Cambridge Univ. Press, 2015, doi:10.1017/CBO9781139942492 (6) H. Boschi-Filho and N. R. F. Braga, “Gauge / string duality and scalar glueball mass ratios,” JHEP 05, 009 (2003) doi:10.1088/1126-6708/2003/05/009 [arXiv:hep-th/0212207 [hep-th]]. (7) H. Boschi-Filho and N. R. F. Braga, “QCD / string holographic mapping and glueball mass spectrum,” Eur. Phys. J. C 32, 529-533 (2004) doi:10.1140/epjc/s2003-01526-4 [arXiv:hep-th/0209080 [hep-th]]. (8) G. F. de Teramond and S. J. Brodsky, “Hadronic spectrum of a holographic dual of QCD,” Phys. Rev. Lett. 94, 201601 (2005) doi:10.1103/PhysRevLett.94.201601 [arXiv:hep-th/0501022 [hep-th]]. (9) J. Erlich, E. Katz, D. T. Son and M. A. Stephanov, “QCD and a holographic model of hadrons,” Phys. Rev. Lett. 95, 261602 (2005) doi:10.1103/PhysRevLett.95.261602 [arXiv:hep-ph/0501128 [hep-ph]]. (10) H. Boschi-Filho, N. R. F. Braga and H. L. Carrion, “Glueball Regge trajectories from gauge/string duality and the Pomeron,” Phys. Rev. D 73, 047901 (2006) doi:10.1103/PhysRevD.73.047901 [arXiv:hep-th/0507063 [hep-th]]. (11) A. Karch, E. Katz, D. T. Son and M. A. Stephanov, “Linear confinement and AdS/QCD,” Phys. Rev. D 74, 015005 (2006) doi:10.1103/PhysRevD.74.015005 [arXiv:hep-ph/0602229 [hep-ph]]. (12) P. Colangelo, F. De Fazio, F. Giannuzzi, F. Jugeau and S. Nicotri, “Light scalar mesons in the soft-wall model of AdS/QCD,” Phys. Rev. D 78, 055009 (2008) doi:10.1103/PhysRevD.78.055009 [arXiv:0807.1054 [hep-ph]]. (13) S. S. Gubser, I. R. Klebanov and A. M. Polyakov, “A Semiclassical limit of the gauge / string correspondence,” Nucl. Phys. B 636, 99-114 (2002) doi:10.1016/S0550-3213(02)00373-5 [arXiv:hep-th/0204051 [hep-th]]. (14) R. A. Costa-Silva and H. Boschi-Filho, “Anomalous and linear holographic hard wall models for glueballs and the pomeron,” Phys. Rev. D 109, no.8, 086019 (2024) doi:10.1103/PhysRevD.109.086019 [arXiv:2306.04728 [hep-ph]]. (15) R. L. Workman et al. [Particle Data Group], “Review of Particle Physics,” PTEP 2022, 083C01 (2022) doi:10.1093/ptep/ptac097 (16) J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]]. H. Boschi-Filho and N. R. F. Braga, “Gauge / string duality and scalar glueball mass ratios,” JHEP 05, 009 (2003) doi:10.1088/1126-6708/2003/05/009 [arXiv:hep-th/0212207 [hep-th]]. (7) H. Boschi-Filho and N. R. F. Braga, “QCD / string holographic mapping and glueball mass spectrum,” Eur. Phys. J. C 32, 529-533 (2004) doi:10.1140/epjc/s2003-01526-4 [arXiv:hep-th/0209080 [hep-th]]. (8) G. F. de Teramond and S. J. Brodsky, “Hadronic spectrum of a holographic dual of QCD,” Phys. Rev. Lett. 94, 201601 (2005) doi:10.1103/PhysRevLett.94.201601 [arXiv:hep-th/0501022 [hep-th]]. (9) J. Erlich, E. Katz, D. T. Son and M. A. Stephanov, “QCD and a holographic model of hadrons,” Phys. Rev. Lett. 95, 261602 (2005) doi:10.1103/PhysRevLett.95.261602 [arXiv:hep-ph/0501128 [hep-ph]]. (10) H. Boschi-Filho, N. R. F. Braga and H. L. Carrion, “Glueball Regge trajectories from gauge/string duality and the Pomeron,” Phys. Rev. D 73, 047901 (2006) doi:10.1103/PhysRevD.73.047901 [arXiv:hep-th/0507063 [hep-th]]. (11) A. Karch, E. Katz, D. T. Son and M. A. Stephanov, “Linear confinement and AdS/QCD,” Phys. Rev. D 74, 015005 (2006) doi:10.1103/PhysRevD.74.015005 [arXiv:hep-ph/0602229 [hep-ph]]. (12) P. Colangelo, F. De Fazio, F. Giannuzzi, F. Jugeau and S. Nicotri, “Light scalar mesons in the soft-wall model of AdS/QCD,” Phys. Rev. D 78, 055009 (2008) doi:10.1103/PhysRevD.78.055009 [arXiv:0807.1054 [hep-ph]]. (13) S. S. Gubser, I. R. Klebanov and A. M. Polyakov, “A Semiclassical limit of the gauge / string correspondence,” Nucl. Phys. B 636, 99-114 (2002) doi:10.1016/S0550-3213(02)00373-5 [arXiv:hep-th/0204051 [hep-th]]. (14) R. A. Costa-Silva and H. Boschi-Filho, “Anomalous and linear holographic hard wall models for glueballs and the pomeron,” Phys. Rev. D 109, no.8, 086019 (2024) doi:10.1103/PhysRevD.109.086019 [arXiv:2306.04728 [hep-ph]]. (15) R. L. Workman et al. [Particle Data Group], “Review of Particle Physics,” PTEP 2022, 083C01 (2022) doi:10.1093/ptep/ptac097 (16) J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]]. H. Boschi-Filho and N. R. F. Braga, “QCD / string holographic mapping and glueball mass spectrum,” Eur. Phys. J. C 32, 529-533 (2004) doi:10.1140/epjc/s2003-01526-4 [arXiv:hep-th/0209080 [hep-th]]. (8) G. F. de Teramond and S. J. Brodsky, “Hadronic spectrum of a holographic dual of QCD,” Phys. Rev. Lett. 94, 201601 (2005) doi:10.1103/PhysRevLett.94.201601 [arXiv:hep-th/0501022 [hep-th]]. (9) J. Erlich, E. Katz, D. T. Son and M. A. Stephanov, “QCD and a holographic model of hadrons,” Phys. Rev. Lett. 95, 261602 (2005) doi:10.1103/PhysRevLett.95.261602 [arXiv:hep-ph/0501128 [hep-ph]]. (10) H. Boschi-Filho, N. R. F. Braga and H. L. Carrion, “Glueball Regge trajectories from gauge/string duality and the Pomeron,” Phys. Rev. D 73, 047901 (2006) doi:10.1103/PhysRevD.73.047901 [arXiv:hep-th/0507063 [hep-th]]. (11) A. Karch, E. Katz, D. T. Son and M. A. Stephanov, “Linear confinement and AdS/QCD,” Phys. Rev. D 74, 015005 (2006) doi:10.1103/PhysRevD.74.015005 [arXiv:hep-ph/0602229 [hep-ph]]. (12) P. Colangelo, F. De Fazio, F. Giannuzzi, F. Jugeau and S. Nicotri, “Light scalar mesons in the soft-wall model of AdS/QCD,” Phys. Rev. D 78, 055009 (2008) doi:10.1103/PhysRevD.78.055009 [arXiv:0807.1054 [hep-ph]]. (13) S. S. Gubser, I. R. Klebanov and A. M. Polyakov, “A Semiclassical limit of the gauge / string correspondence,” Nucl. Phys. B 636, 99-114 (2002) doi:10.1016/S0550-3213(02)00373-5 [arXiv:hep-th/0204051 [hep-th]]. (14) R. A. Costa-Silva and H. Boschi-Filho, “Anomalous and linear holographic hard wall models for glueballs and the pomeron,” Phys. Rev. D 109, no.8, 086019 (2024) doi:10.1103/PhysRevD.109.086019 [arXiv:2306.04728 [hep-ph]]. (15) R. L. Workman et al. [Particle Data Group], “Review of Particle Physics,” PTEP 2022, 083C01 (2022) doi:10.1093/ptep/ptac097 (16) J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]]. G. F. de Teramond and S. J. Brodsky, “Hadronic spectrum of a holographic dual of QCD,” Phys. Rev. Lett. 94, 201601 (2005) doi:10.1103/PhysRevLett.94.201601 [arXiv:hep-th/0501022 [hep-th]]. (9) J. Erlich, E. Katz, D. T. Son and M. A. Stephanov, “QCD and a holographic model of hadrons,” Phys. Rev. Lett. 95, 261602 (2005) doi:10.1103/PhysRevLett.95.261602 [arXiv:hep-ph/0501128 [hep-ph]]. (10) H. Boschi-Filho, N. R. F. Braga and H. L. Carrion, “Glueball Regge trajectories from gauge/string duality and the Pomeron,” Phys. Rev. D 73, 047901 (2006) doi:10.1103/PhysRevD.73.047901 [arXiv:hep-th/0507063 [hep-th]]. (11) A. Karch, E. Katz, D. T. Son and M. A. Stephanov, “Linear confinement and AdS/QCD,” Phys. Rev. D 74, 015005 (2006) doi:10.1103/PhysRevD.74.015005 [arXiv:hep-ph/0602229 [hep-ph]]. (12) P. Colangelo, F. De Fazio, F. Giannuzzi, F. Jugeau and S. Nicotri, “Light scalar mesons in the soft-wall model of AdS/QCD,” Phys. Rev. D 78, 055009 (2008) doi:10.1103/PhysRevD.78.055009 [arXiv:0807.1054 [hep-ph]]. (13) S. S. Gubser, I. R. Klebanov and A. M. Polyakov, “A Semiclassical limit of the gauge / string correspondence,” Nucl. Phys. B 636, 99-114 (2002) doi:10.1016/S0550-3213(02)00373-5 [arXiv:hep-th/0204051 [hep-th]]. (14) R. A. Costa-Silva and H. Boschi-Filho, “Anomalous and linear holographic hard wall models for glueballs and the pomeron,” Phys. Rev. D 109, no.8, 086019 (2024) doi:10.1103/PhysRevD.109.086019 [arXiv:2306.04728 [hep-ph]]. (15) R. L. Workman et al. [Particle Data Group], “Review of Particle Physics,” PTEP 2022, 083C01 (2022) doi:10.1093/ptep/ptac097 (16) J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]]. J. Erlich, E. Katz, D. T. Son and M. A. Stephanov, “QCD and a holographic model of hadrons,” Phys. Rev. Lett. 95, 261602 (2005) doi:10.1103/PhysRevLett.95.261602 [arXiv:hep-ph/0501128 [hep-ph]]. (10) H. Boschi-Filho, N. R. F. Braga and H. L. Carrion, “Glueball Regge trajectories from gauge/string duality and the Pomeron,” Phys. Rev. D 73, 047901 (2006) doi:10.1103/PhysRevD.73.047901 [arXiv:hep-th/0507063 [hep-th]]. (11) A. Karch, E. Katz, D. T. Son and M. A. Stephanov, “Linear confinement and AdS/QCD,” Phys. Rev. D 74, 015005 (2006) doi:10.1103/PhysRevD.74.015005 [arXiv:hep-ph/0602229 [hep-ph]]. (12) P. Colangelo, F. De Fazio, F. Giannuzzi, F. Jugeau and S. Nicotri, “Light scalar mesons in the soft-wall model of AdS/QCD,” Phys. Rev. D 78, 055009 (2008) doi:10.1103/PhysRevD.78.055009 [arXiv:0807.1054 [hep-ph]]. (13) S. S. Gubser, I. R. Klebanov and A. M. Polyakov, “A Semiclassical limit of the gauge / string correspondence,” Nucl. Phys. B 636, 99-114 (2002) doi:10.1016/S0550-3213(02)00373-5 [arXiv:hep-th/0204051 [hep-th]]. (14) R. A. Costa-Silva and H. Boschi-Filho, “Anomalous and linear holographic hard wall models for glueballs and the pomeron,” Phys. Rev. D 109, no.8, 086019 (2024) doi:10.1103/PhysRevD.109.086019 [arXiv:2306.04728 [hep-ph]]. (15) R. L. Workman et al. [Particle Data Group], “Review of Particle Physics,” PTEP 2022, 083C01 (2022) doi:10.1093/ptep/ptac097 (16) J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]]. H. Boschi-Filho, N. R. F. Braga and H. L. Carrion, “Glueball Regge trajectories from gauge/string duality and the Pomeron,” Phys. Rev. D 73, 047901 (2006) doi:10.1103/PhysRevD.73.047901 [arXiv:hep-th/0507063 [hep-th]]. (11) A. Karch, E. Katz, D. T. Son and M. A. Stephanov, “Linear confinement and AdS/QCD,” Phys. Rev. D 74, 015005 (2006) doi:10.1103/PhysRevD.74.015005 [arXiv:hep-ph/0602229 [hep-ph]]. (12) P. Colangelo, F. De Fazio, F. Giannuzzi, F. Jugeau and S. Nicotri, “Light scalar mesons in the soft-wall model of AdS/QCD,” Phys. Rev. D 78, 055009 (2008) doi:10.1103/PhysRevD.78.055009 [arXiv:0807.1054 [hep-ph]]. (13) S. S. Gubser, I. R. Klebanov and A. M. Polyakov, “A Semiclassical limit of the gauge / string correspondence,” Nucl. Phys. B 636, 99-114 (2002) doi:10.1016/S0550-3213(02)00373-5 [arXiv:hep-th/0204051 [hep-th]]. (14) R. A. Costa-Silva and H. Boschi-Filho, “Anomalous and linear holographic hard wall models for glueballs and the pomeron,” Phys. Rev. D 109, no.8, 086019 (2024) doi:10.1103/PhysRevD.109.086019 [arXiv:2306.04728 [hep-ph]]. (15) R. L. Workman et al. [Particle Data Group], “Review of Particle Physics,” PTEP 2022, 083C01 (2022) doi:10.1093/ptep/ptac097 (16) J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]]. A. Karch, E. Katz, D. T. Son and M. A. Stephanov, “Linear confinement and AdS/QCD,” Phys. Rev. D 74, 015005 (2006) doi:10.1103/PhysRevD.74.015005 [arXiv:hep-ph/0602229 [hep-ph]]. (12) P. Colangelo, F. De Fazio, F. Giannuzzi, F. Jugeau and S. Nicotri, “Light scalar mesons in the soft-wall model of AdS/QCD,” Phys. Rev. D 78, 055009 (2008) doi:10.1103/PhysRevD.78.055009 [arXiv:0807.1054 [hep-ph]]. (13) S. S. Gubser, I. R. Klebanov and A. M. Polyakov, “A Semiclassical limit of the gauge / string correspondence,” Nucl. Phys. B 636, 99-114 (2002) doi:10.1016/S0550-3213(02)00373-5 [arXiv:hep-th/0204051 [hep-th]]. (14) R. A. Costa-Silva and H. Boschi-Filho, “Anomalous and linear holographic hard wall models for glueballs and the pomeron,” Phys. Rev. D 109, no.8, 086019 (2024) doi:10.1103/PhysRevD.109.086019 [arXiv:2306.04728 [hep-ph]]. (15) R. L. Workman et al. [Particle Data Group], “Review of Particle Physics,” PTEP 2022, 083C01 (2022) doi:10.1093/ptep/ptac097 (16) J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]]. P. Colangelo, F. De Fazio, F. Giannuzzi, F. Jugeau and S. Nicotri, “Light scalar mesons in the soft-wall model of AdS/QCD,” Phys. Rev. D 78, 055009 (2008) doi:10.1103/PhysRevD.78.055009 [arXiv:0807.1054 [hep-ph]]. (13) S. S. Gubser, I. R. Klebanov and A. M. Polyakov, “A Semiclassical limit of the gauge / string correspondence,” Nucl. Phys. B 636, 99-114 (2002) doi:10.1016/S0550-3213(02)00373-5 [arXiv:hep-th/0204051 [hep-th]]. (14) R. A. Costa-Silva and H. Boschi-Filho, “Anomalous and linear holographic hard wall models for glueballs and the pomeron,” Phys. Rev. D 109, no.8, 086019 (2024) doi:10.1103/PhysRevD.109.086019 [arXiv:2306.04728 [hep-ph]]. (15) R. L. Workman et al. [Particle Data Group], “Review of Particle Physics,” PTEP 2022, 083C01 (2022) doi:10.1093/ptep/ptac097 (16) J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]]. S. S. Gubser, I. R. Klebanov and A. M. Polyakov, “A Semiclassical limit of the gauge / string correspondence,” Nucl. Phys. B 636, 99-114 (2002) doi:10.1016/S0550-3213(02)00373-5 [arXiv:hep-th/0204051 [hep-th]]. (14) R. A. Costa-Silva and H. Boschi-Filho, “Anomalous and linear holographic hard wall models for glueballs and the pomeron,” Phys. Rev. D 109, no.8, 086019 (2024) doi:10.1103/PhysRevD.109.086019 [arXiv:2306.04728 [hep-ph]]. (15) R. L. Workman et al. [Particle Data Group], “Review of Particle Physics,” PTEP 2022, 083C01 (2022) doi:10.1093/ptep/ptac097 (16) J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]]. R. A. Costa-Silva and H. Boschi-Filho, “Anomalous and linear holographic hard wall models for glueballs and the pomeron,” Phys. Rev. D 109, no.8, 086019 (2024) doi:10.1103/PhysRevD.109.086019 [arXiv:2306.04728 [hep-ph]]. (15) R. L. Workman et al. [Particle Data Group], “Review of Particle Physics,” PTEP 2022, 083C01 (2022) doi:10.1093/ptep/ptac097 (16) J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]]. R. L. Workman et al. [Particle Data Group], “Review of Particle Physics,” PTEP 2022, 083C01 (2022) doi:10.1093/ptep/ptac097 (16) J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]]. J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]].
- H. Boschi-Filho and N. R. F. Braga, “Gauge / string duality and scalar glueball mass ratios,” JHEP 05, 009 (2003) doi:10.1088/1126-6708/2003/05/009 [arXiv:hep-th/0212207 [hep-th]]. (7) H. Boschi-Filho and N. R. F. Braga, “QCD / string holographic mapping and glueball mass spectrum,” Eur. Phys. J. C 32, 529-533 (2004) doi:10.1140/epjc/s2003-01526-4 [arXiv:hep-th/0209080 [hep-th]]. (8) G. F. de Teramond and S. J. Brodsky, “Hadronic spectrum of a holographic dual of QCD,” Phys. Rev. Lett. 94, 201601 (2005) doi:10.1103/PhysRevLett.94.201601 [arXiv:hep-th/0501022 [hep-th]]. (9) J. Erlich, E. Katz, D. T. Son and M. A. Stephanov, “QCD and a holographic model of hadrons,” Phys. Rev. Lett. 95, 261602 (2005) doi:10.1103/PhysRevLett.95.261602 [arXiv:hep-ph/0501128 [hep-ph]]. (10) H. Boschi-Filho, N. R. F. Braga and H. L. Carrion, “Glueball Regge trajectories from gauge/string duality and the Pomeron,” Phys. Rev. D 73, 047901 (2006) doi:10.1103/PhysRevD.73.047901 [arXiv:hep-th/0507063 [hep-th]]. (11) A. Karch, E. Katz, D. T. Son and M. A. Stephanov, “Linear confinement and AdS/QCD,” Phys. Rev. D 74, 015005 (2006) doi:10.1103/PhysRevD.74.015005 [arXiv:hep-ph/0602229 [hep-ph]]. (12) P. Colangelo, F. De Fazio, F. Giannuzzi, F. Jugeau and S. Nicotri, “Light scalar mesons in the soft-wall model of AdS/QCD,” Phys. Rev. D 78, 055009 (2008) doi:10.1103/PhysRevD.78.055009 [arXiv:0807.1054 [hep-ph]]. (13) S. S. Gubser, I. R. Klebanov and A. M. Polyakov, “A Semiclassical limit of the gauge / string correspondence,” Nucl. Phys. B 636, 99-114 (2002) doi:10.1016/S0550-3213(02)00373-5 [arXiv:hep-th/0204051 [hep-th]]. (14) R. A. Costa-Silva and H. Boschi-Filho, “Anomalous and linear holographic hard wall models for glueballs and the pomeron,” Phys. Rev. D 109, no.8, 086019 (2024) doi:10.1103/PhysRevD.109.086019 [arXiv:2306.04728 [hep-ph]]. (15) R. L. Workman et al. [Particle Data Group], “Review of Particle Physics,” PTEP 2022, 083C01 (2022) doi:10.1093/ptep/ptac097 (16) J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]]. H. Boschi-Filho and N. R. F. Braga, “QCD / string holographic mapping and glueball mass spectrum,” Eur. Phys. J. C 32, 529-533 (2004) doi:10.1140/epjc/s2003-01526-4 [arXiv:hep-th/0209080 [hep-th]]. (8) G. F. de Teramond and S. J. Brodsky, “Hadronic spectrum of a holographic dual of QCD,” Phys. Rev. Lett. 94, 201601 (2005) doi:10.1103/PhysRevLett.94.201601 [arXiv:hep-th/0501022 [hep-th]]. (9) J. Erlich, E. Katz, D. T. Son and M. A. Stephanov, “QCD and a holographic model of hadrons,” Phys. Rev. Lett. 95, 261602 (2005) doi:10.1103/PhysRevLett.95.261602 [arXiv:hep-ph/0501128 [hep-ph]]. (10) H. Boschi-Filho, N. R. F. Braga and H. L. Carrion, “Glueball Regge trajectories from gauge/string duality and the Pomeron,” Phys. Rev. D 73, 047901 (2006) doi:10.1103/PhysRevD.73.047901 [arXiv:hep-th/0507063 [hep-th]]. (11) A. Karch, E. Katz, D. T. Son and M. A. Stephanov, “Linear confinement and AdS/QCD,” Phys. Rev. D 74, 015005 (2006) doi:10.1103/PhysRevD.74.015005 [arXiv:hep-ph/0602229 [hep-ph]]. (12) P. Colangelo, F. De Fazio, F. Giannuzzi, F. Jugeau and S. Nicotri, “Light scalar mesons in the soft-wall model of AdS/QCD,” Phys. Rev. D 78, 055009 (2008) doi:10.1103/PhysRevD.78.055009 [arXiv:0807.1054 [hep-ph]]. (13) S. S. Gubser, I. R. Klebanov and A. M. Polyakov, “A Semiclassical limit of the gauge / string correspondence,” Nucl. Phys. B 636, 99-114 (2002) doi:10.1016/S0550-3213(02)00373-5 [arXiv:hep-th/0204051 [hep-th]]. (14) R. A. Costa-Silva and H. Boschi-Filho, “Anomalous and linear holographic hard wall models for glueballs and the pomeron,” Phys. Rev. D 109, no.8, 086019 (2024) doi:10.1103/PhysRevD.109.086019 [arXiv:2306.04728 [hep-ph]]. (15) R. L. Workman et al. [Particle Data Group], “Review of Particle Physics,” PTEP 2022, 083C01 (2022) doi:10.1093/ptep/ptac097 (16) J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]]. G. F. de Teramond and S. J. Brodsky, “Hadronic spectrum of a holographic dual of QCD,” Phys. Rev. Lett. 94, 201601 (2005) doi:10.1103/PhysRevLett.94.201601 [arXiv:hep-th/0501022 [hep-th]]. (9) J. Erlich, E. Katz, D. T. Son and M. A. Stephanov, “QCD and a holographic model of hadrons,” Phys. Rev. Lett. 95, 261602 (2005) doi:10.1103/PhysRevLett.95.261602 [arXiv:hep-ph/0501128 [hep-ph]]. (10) H. Boschi-Filho, N. R. F. Braga and H. L. Carrion, “Glueball Regge trajectories from gauge/string duality and the Pomeron,” Phys. Rev. D 73, 047901 (2006) doi:10.1103/PhysRevD.73.047901 [arXiv:hep-th/0507063 [hep-th]]. (11) A. Karch, E. Katz, D. T. Son and M. A. Stephanov, “Linear confinement and AdS/QCD,” Phys. Rev. D 74, 015005 (2006) doi:10.1103/PhysRevD.74.015005 [arXiv:hep-ph/0602229 [hep-ph]]. (12) P. Colangelo, F. De Fazio, F. Giannuzzi, F. Jugeau and S. Nicotri, “Light scalar mesons in the soft-wall model of AdS/QCD,” Phys. Rev. D 78, 055009 (2008) doi:10.1103/PhysRevD.78.055009 [arXiv:0807.1054 [hep-ph]]. (13) S. S. Gubser, I. R. Klebanov and A. M. Polyakov, “A Semiclassical limit of the gauge / string correspondence,” Nucl. Phys. B 636, 99-114 (2002) doi:10.1016/S0550-3213(02)00373-5 [arXiv:hep-th/0204051 [hep-th]]. (14) R. A. Costa-Silva and H. Boschi-Filho, “Anomalous and linear holographic hard wall models for glueballs and the pomeron,” Phys. Rev. D 109, no.8, 086019 (2024) doi:10.1103/PhysRevD.109.086019 [arXiv:2306.04728 [hep-ph]]. (15) R. L. Workman et al. [Particle Data Group], “Review of Particle Physics,” PTEP 2022, 083C01 (2022) doi:10.1093/ptep/ptac097 (16) J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. 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Polyakov, “A Semiclassical limit of the gauge / string correspondence,” Nucl. Phys. B 636, 99-114 (2002) doi:10.1016/S0550-3213(02)00373-5 [arXiv:hep-th/0204051 [hep-th]]. (14) R. A. Costa-Silva and H. Boschi-Filho, “Anomalous and linear holographic hard wall models for glueballs and the pomeron,” Phys. Rev. D 109, no.8, 086019 (2024) doi:10.1103/PhysRevD.109.086019 [arXiv:2306.04728 [hep-ph]]. (15) R. L. Workman et al. [Particle Data Group], “Review of Particle Physics,” PTEP 2022, 083C01 (2022) doi:10.1093/ptep/ptac097 (16) J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]]. H. Boschi-Filho, N. R. F. Braga and H. L. Carrion, “Glueball Regge trajectories from gauge/string duality and the Pomeron,” Phys. Rev. D 73, 047901 (2006) doi:10.1103/PhysRevD.73.047901 [arXiv:hep-th/0507063 [hep-th]]. (11) A. Karch, E. Katz, D. T. Son and M. A. Stephanov, “Linear confinement and AdS/QCD,” Phys. Rev. D 74, 015005 (2006) doi:10.1103/PhysRevD.74.015005 [arXiv:hep-ph/0602229 [hep-ph]]. (12) P. Colangelo, F. De Fazio, F. Giannuzzi, F. Jugeau and S. Nicotri, “Light scalar mesons in the soft-wall model of AdS/QCD,” Phys. Rev. D 78, 055009 (2008) doi:10.1103/PhysRevD.78.055009 [arXiv:0807.1054 [hep-ph]]. (13) S. S. Gubser, I. R. Klebanov and A. M. Polyakov, “A Semiclassical limit of the gauge / string correspondence,” Nucl. Phys. B 636, 99-114 (2002) doi:10.1016/S0550-3213(02)00373-5 [arXiv:hep-th/0204051 [hep-th]]. (14) R. A. Costa-Silva and H. Boschi-Filho, “Anomalous and linear holographic hard wall models for glueballs and the pomeron,” Phys. Rev. D 109, no.8, 086019 (2024) doi:10.1103/PhysRevD.109.086019 [arXiv:2306.04728 [hep-ph]]. (15) R. L. Workman et al. [Particle Data Group], “Review of Particle Physics,” PTEP 2022, 083C01 (2022) doi:10.1093/ptep/ptac097 (16) J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]]. A. Karch, E. Katz, D. T. Son and M. A. Stephanov, “Linear confinement and AdS/QCD,” Phys. Rev. D 74, 015005 (2006) doi:10.1103/PhysRevD.74.015005 [arXiv:hep-ph/0602229 [hep-ph]]. (12) P. Colangelo, F. De Fazio, F. Giannuzzi, F. Jugeau and S. Nicotri, “Light scalar mesons in the soft-wall model of AdS/QCD,” Phys. Rev. D 78, 055009 (2008) doi:10.1103/PhysRevD.78.055009 [arXiv:0807.1054 [hep-ph]]. (13) S. S. Gubser, I. R. Klebanov and A. M. Polyakov, “A Semiclassical limit of the gauge / string correspondence,” Nucl. Phys. B 636, 99-114 (2002) doi:10.1016/S0550-3213(02)00373-5 [arXiv:hep-th/0204051 [hep-th]]. (14) R. A. Costa-Silva and H. Boschi-Filho, “Anomalous and linear holographic hard wall models for glueballs and the pomeron,” Phys. Rev. D 109, no.8, 086019 (2024) doi:10.1103/PhysRevD.109.086019 [arXiv:2306.04728 [hep-ph]]. (15) R. L. Workman et al. 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(12) P. Colangelo, F. De Fazio, F. Giannuzzi, F. Jugeau and S. Nicotri, “Light scalar mesons in the soft-wall model of AdS/QCD,” Phys. Rev. D 78, 055009 (2008) doi:10.1103/PhysRevD.78.055009 [arXiv:0807.1054 [hep-ph]]. (13) S. S. Gubser, I. R. Klebanov and A. M. Polyakov, “A Semiclassical limit of the gauge / string correspondence,” Nucl. Phys. B 636, 99-114 (2002) doi:10.1016/S0550-3213(02)00373-5 [arXiv:hep-th/0204051 [hep-th]]. (14) R. A. Costa-Silva and H. Boschi-Filho, “Anomalous and linear holographic hard wall models for glueballs and the pomeron,” Phys. Rev. D 109, no.8, 086019 (2024) doi:10.1103/PhysRevD.109.086019 [arXiv:2306.04728 [hep-ph]]. (15) R. L. Workman et al. [Particle Data Group], “Review of Particle Physics,” PTEP 2022, 083C01 (2022) doi:10.1093/ptep/ptac097 (16) J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]]. G. F. de Teramond and S. J. Brodsky, “Hadronic spectrum of a holographic dual of QCD,” Phys. Rev. Lett. 94, 201601 (2005) doi:10.1103/PhysRevLett.94.201601 [arXiv:hep-th/0501022 [hep-th]]. (9) J. Erlich, E. Katz, D. T. Son and M. A. Stephanov, “QCD and a holographic model of hadrons,” Phys. Rev. Lett. 95, 261602 (2005) doi:10.1103/PhysRevLett.95.261602 [arXiv:hep-ph/0501128 [hep-ph]]. (10) H. Boschi-Filho, N. R. F. Braga and H. L. Carrion, “Glueball Regge trajectories from gauge/string duality and the Pomeron,” Phys. Rev. D 73, 047901 (2006) doi:10.1103/PhysRevD.73.047901 [arXiv:hep-th/0507063 [hep-th]]. (11) A. Karch, E. Katz, D. T. Son and M. A. Stephanov, “Linear confinement and AdS/QCD,” Phys. Rev. D 74, 015005 (2006) doi:10.1103/PhysRevD.74.015005 [arXiv:hep-ph/0602229 [hep-ph]]. (12) P. Colangelo, F. De Fazio, F. Giannuzzi, F. Jugeau and S. Nicotri, “Light scalar mesons in the soft-wall model of AdS/QCD,” Phys. Rev. D 78, 055009 (2008) doi:10.1103/PhysRevD.78.055009 [arXiv:0807.1054 [hep-ph]]. (13) S. S. Gubser, I. R. Klebanov and A. M. Polyakov, “A Semiclassical limit of the gauge / string correspondence,” Nucl. Phys. B 636, 99-114 (2002) doi:10.1016/S0550-3213(02)00373-5 [arXiv:hep-th/0204051 [hep-th]]. (14) R. A. Costa-Silva and H. Boschi-Filho, “Anomalous and linear holographic hard wall models for glueballs and the pomeron,” Phys. Rev. D 109, no.8, 086019 (2024) doi:10.1103/PhysRevD.109.086019 [arXiv:2306.04728 [hep-ph]]. (15) R. L. Workman et al. [Particle Data Group], “Review of Particle Physics,” PTEP 2022, 083C01 (2022) doi:10.1093/ptep/ptac097 (16) J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]]. J. Erlich, E. Katz, D. T. Son and M. A. Stephanov, “QCD and a holographic model of hadrons,” Phys. Rev. Lett. 95, 261602 (2005) doi:10.1103/PhysRevLett.95.261602 [arXiv:hep-ph/0501128 [hep-ph]]. (10) H. Boschi-Filho, N. R. F. Braga and H. L. Carrion, “Glueball Regge trajectories from gauge/string duality and the Pomeron,” Phys. Rev. D 73, 047901 (2006) doi:10.1103/PhysRevD.73.047901 [arXiv:hep-th/0507063 [hep-th]]. (11) A. Karch, E. Katz, D. T. Son and M. A. Stephanov, “Linear confinement and AdS/QCD,” Phys. Rev. D 74, 015005 (2006) doi:10.1103/PhysRevD.74.015005 [arXiv:hep-ph/0602229 [hep-ph]]. (12) P. Colangelo, F. De Fazio, F. Giannuzzi, F. Jugeau and S. Nicotri, “Light scalar mesons in the soft-wall model of AdS/QCD,” Phys. Rev. D 78, 055009 (2008) doi:10.1103/PhysRevD.78.055009 [arXiv:0807.1054 [hep-ph]]. (13) S. S. Gubser, I. R. Klebanov and A. M. Polyakov, “A Semiclassical limit of the gauge / string correspondence,” Nucl. Phys. B 636, 99-114 (2002) doi:10.1016/S0550-3213(02)00373-5 [arXiv:hep-th/0204051 [hep-th]]. (14) R. A. Costa-Silva and H. Boschi-Filho, “Anomalous and linear holographic hard wall models for glueballs and the pomeron,” Phys. Rev. D 109, no.8, 086019 (2024) doi:10.1103/PhysRevD.109.086019 [arXiv:2306.04728 [hep-ph]]. (15) R. L. Workman et al. [Particle Data Group], “Review of Particle Physics,” PTEP 2022, 083C01 (2022) doi:10.1093/ptep/ptac097 (16) J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]]. H. Boschi-Filho, N. R. F. Braga and H. L. Carrion, “Glueball Regge trajectories from gauge/string duality and the Pomeron,” Phys. Rev. D 73, 047901 (2006) doi:10.1103/PhysRevD.73.047901 [arXiv:hep-th/0507063 [hep-th]]. (11) A. Karch, E. Katz, D. T. Son and M. A. Stephanov, “Linear confinement and AdS/QCD,” Phys. Rev. D 74, 015005 (2006) doi:10.1103/PhysRevD.74.015005 [arXiv:hep-ph/0602229 [hep-ph]]. (12) P. Colangelo, F. De Fazio, F. Giannuzzi, F. Jugeau and S. Nicotri, “Light scalar mesons in the soft-wall model of AdS/QCD,” Phys. Rev. D 78, 055009 (2008) doi:10.1103/PhysRevD.78.055009 [arXiv:0807.1054 [hep-ph]]. (13) S. S. Gubser, I. R. Klebanov and A. M. Polyakov, “A Semiclassical limit of the gauge / string correspondence,” Nucl. Phys. B 636, 99-114 (2002) doi:10.1016/S0550-3213(02)00373-5 [arXiv:hep-th/0204051 [hep-th]]. (14) R. A. Costa-Silva and H. Boschi-Filho, “Anomalous and linear holographic hard wall models for glueballs and the pomeron,” Phys. Rev. D 109, no.8, 086019 (2024) doi:10.1103/PhysRevD.109.086019 [arXiv:2306.04728 [hep-ph]]. (15) R. L. Workman et al. [Particle Data Group], “Review of Particle Physics,” PTEP 2022, 083C01 (2022) doi:10.1093/ptep/ptac097 (16) J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]]. A. Karch, E. Katz, D. T. Son and M. A. Stephanov, “Linear confinement and AdS/QCD,” Phys. Rev. D 74, 015005 (2006) doi:10.1103/PhysRevD.74.015005 [arXiv:hep-ph/0602229 [hep-ph]]. (12) P. Colangelo, F. De Fazio, F. Giannuzzi, F. Jugeau and S. Nicotri, “Light scalar mesons in the soft-wall model of AdS/QCD,” Phys. Rev. D 78, 055009 (2008) doi:10.1103/PhysRevD.78.055009 [arXiv:0807.1054 [hep-ph]]. (13) S. S. Gubser, I. R. Klebanov and A. M. Polyakov, “A Semiclassical limit of the gauge / string correspondence,” Nucl. Phys. B 636, 99-114 (2002) doi:10.1016/S0550-3213(02)00373-5 [arXiv:hep-th/0204051 [hep-th]]. (14) R. A. Costa-Silva and H. Boschi-Filho, “Anomalous and linear holographic hard wall models for glueballs and the pomeron,” Phys. Rev. D 109, no.8, 086019 (2024) doi:10.1103/PhysRevD.109.086019 [arXiv:2306.04728 [hep-ph]]. (15) R. L. Workman et al. [Particle Data Group], “Review of Particle Physics,” PTEP 2022, 083C01 (2022) doi:10.1093/ptep/ptac097 (16) J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]]. P. Colangelo, F. De Fazio, F. Giannuzzi, F. Jugeau and S. Nicotri, “Light scalar mesons in the soft-wall model of AdS/QCD,” Phys. Rev. D 78, 055009 (2008) doi:10.1103/PhysRevD.78.055009 [arXiv:0807.1054 [hep-ph]]. (13) S. S. Gubser, I. R. Klebanov and A. M. Polyakov, “A Semiclassical limit of the gauge / string correspondence,” Nucl. Phys. B 636, 99-114 (2002) doi:10.1016/S0550-3213(02)00373-5 [arXiv:hep-th/0204051 [hep-th]]. (14) R. A. Costa-Silva and H. Boschi-Filho, “Anomalous and linear holographic hard wall models for glueballs and the pomeron,” Phys. Rev. D 109, no.8, 086019 (2024) doi:10.1103/PhysRevD.109.086019 [arXiv:2306.04728 [hep-ph]]. (15) R. L. Workman et al. [Particle Data Group], “Review of Particle Physics,” PTEP 2022, 083C01 (2022) doi:10.1093/ptep/ptac097 (16) J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]]. S. S. Gubser, I. R. Klebanov and A. M. 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Nicotri, “Light scalar mesons in the soft-wall model of AdS/QCD,” Phys. Rev. D 78, 055009 (2008) doi:10.1103/PhysRevD.78.055009 [arXiv:0807.1054 [hep-ph]]. (13) S. S. Gubser, I. R. Klebanov and A. M. Polyakov, “A Semiclassical limit of the gauge / string correspondence,” Nucl. Phys. B 636, 99-114 (2002) doi:10.1016/S0550-3213(02)00373-5 [arXiv:hep-th/0204051 [hep-th]]. (14) R. A. Costa-Silva and H. Boschi-Filho, “Anomalous and linear holographic hard wall models for glueballs and the pomeron,” Phys. Rev. D 109, no.8, 086019 (2024) doi:10.1103/PhysRevD.109.086019 [arXiv:2306.04728 [hep-ph]]. (15) R. L. Workman et al. [Particle Data Group], “Review of Particle Physics,” PTEP 2022, 083C01 (2022) doi:10.1093/ptep/ptac097 (16) J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]]. A. Karch, E. Katz, D. T. Son and M. A. Stephanov, “Linear confinement and AdS/QCD,” Phys. Rev. D 74, 015005 (2006) doi:10.1103/PhysRevD.74.015005 [arXiv:hep-ph/0602229 [hep-ph]]. (12) P. Colangelo, F. De Fazio, F. Giannuzzi, F. Jugeau and S. Nicotri, “Light scalar mesons in the soft-wall model of AdS/QCD,” Phys. Rev. D 78, 055009 (2008) doi:10.1103/PhysRevD.78.055009 [arXiv:0807.1054 [hep-ph]]. (13) S. S. Gubser, I. R. Klebanov and A. M. Polyakov, “A Semiclassical limit of the gauge / string correspondence,” Nucl. Phys. B 636, 99-114 (2002) doi:10.1016/S0550-3213(02)00373-5 [arXiv:hep-th/0204051 [hep-th]]. (14) R. A. Costa-Silva and H. Boschi-Filho, “Anomalous and linear holographic hard wall models for glueballs and the pomeron,” Phys. Rev. D 109, no.8, 086019 (2024) doi:10.1103/PhysRevD.109.086019 [arXiv:2306.04728 [hep-ph]]. (15) R. L. Workman et al. [Particle Data Group], “Review of Particle Physics,” PTEP 2022, 083C01 (2022) doi:10.1093/ptep/ptac097 (16) J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]]. P. Colangelo, F. De Fazio, F. Giannuzzi, F. Jugeau and S. Nicotri, “Light scalar mesons in the soft-wall model of AdS/QCD,” Phys. Rev. D 78, 055009 (2008) doi:10.1103/PhysRevD.78.055009 [arXiv:0807.1054 [hep-ph]]. (13) S. S. Gubser, I. R. Klebanov and A. M. Polyakov, “A Semiclassical limit of the gauge / string correspondence,” Nucl. Phys. B 636, 99-114 (2002) doi:10.1016/S0550-3213(02)00373-5 [arXiv:hep-th/0204051 [hep-th]]. (14) R. A. Costa-Silva and H. Boschi-Filho, “Anomalous and linear holographic hard wall models for glueballs and the pomeron,” Phys. Rev. D 109, no.8, 086019 (2024) doi:10.1103/PhysRevD.109.086019 [arXiv:2306.04728 [hep-ph]]. (15) R. L. Workman et al. [Particle Data Group], “Review of Particle Physics,” PTEP 2022, 083C01 (2022) doi:10.1093/ptep/ptac097 (16) J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]]. S. S. Gubser, I. R. Klebanov and A. M. Polyakov, “A Semiclassical limit of the gauge / string correspondence,” Nucl. Phys. B 636, 99-114 (2002) doi:10.1016/S0550-3213(02)00373-5 [arXiv:hep-th/0204051 [hep-th]]. (14) R. A. Costa-Silva and H. Boschi-Filho, “Anomalous and linear holographic hard wall models for glueballs and the pomeron,” Phys. Rev. D 109, no.8, 086019 (2024) doi:10.1103/PhysRevD.109.086019 [arXiv:2306.04728 [hep-ph]]. (15) R. L. Workman et al. [Particle Data Group], “Review of Particle Physics,” PTEP 2022, 083C01 (2022) doi:10.1093/ptep/ptac097 (16) J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]]. R. A. Costa-Silva and H. Boschi-Filho, “Anomalous and linear holographic hard wall models for glueballs and the pomeron,” Phys. Rev. D 109, no.8, 086019 (2024) doi:10.1103/PhysRevD.109.086019 [arXiv:2306.04728 [hep-ph]]. (15) R. L. Workman et al. [Particle Data Group], “Review of Particle Physics,” PTEP 2022, 083C01 (2022) doi:10.1093/ptep/ptac097 (16) J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]]. R. L. Workman et al. [Particle Data Group], “Review of Particle Physics,” PTEP 2022, 083C01 (2022) doi:10.1093/ptep/ptac097 (16) J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]]. J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]].
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B 636, 99-114 (2002) doi:10.1016/S0550-3213(02)00373-5 [arXiv:hep-th/0204051 [hep-th]]. (14) R. A. Costa-Silva and H. Boschi-Filho, “Anomalous and linear holographic hard wall models for glueballs and the pomeron,” Phys. Rev. D 109, no.8, 086019 (2024) doi:10.1103/PhysRevD.109.086019 [arXiv:2306.04728 [hep-ph]]. (15) R. L. Workman et al. [Particle Data Group], “Review of Particle Physics,” PTEP 2022, 083C01 (2022) doi:10.1093/ptep/ptac097 (16) J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]]. H. Boschi-Filho, N. R. F. Braga and H. L. Carrion, “Glueball Regge trajectories from gauge/string duality and the Pomeron,” Phys. Rev. D 73, 047901 (2006) doi:10.1103/PhysRevD.73.047901 [arXiv:hep-th/0507063 [hep-th]]. (11) A. Karch, E. Katz, D. T. Son and M. A. Stephanov, “Linear confinement and AdS/QCD,” Phys. Rev. D 74, 015005 (2006) doi:10.1103/PhysRevD.74.015005 [arXiv:hep-ph/0602229 [hep-ph]]. (12) P. Colangelo, F. De Fazio, F. Giannuzzi, F. Jugeau and S. Nicotri, “Light scalar mesons in the soft-wall model of AdS/QCD,” Phys. Rev. D 78, 055009 (2008) doi:10.1103/PhysRevD.78.055009 [arXiv:0807.1054 [hep-ph]]. (13) S. S. Gubser, I. R. Klebanov and A. M. Polyakov, “A Semiclassical limit of the gauge / string correspondence,” Nucl. Phys. B 636, 99-114 (2002) doi:10.1016/S0550-3213(02)00373-5 [arXiv:hep-th/0204051 [hep-th]]. (14) R. A. Costa-Silva and H. Boschi-Filho, “Anomalous and linear holographic hard wall models for glueballs and the pomeron,” Phys. Rev. D 109, no.8, 086019 (2024) doi:10.1103/PhysRevD.109.086019 [arXiv:2306.04728 [hep-ph]]. (15) R. L. Workman et al. [Particle Data Group], “Review of Particle Physics,” PTEP 2022, 083C01 (2022) doi:10.1093/ptep/ptac097 (16) J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]]. A. Karch, E. Katz, D. T. Son and M. A. Stephanov, “Linear confinement and AdS/QCD,” Phys. Rev. D 74, 015005 (2006) doi:10.1103/PhysRevD.74.015005 [arXiv:hep-ph/0602229 [hep-ph]]. (12) P. Colangelo, F. De Fazio, F. Giannuzzi, F. Jugeau and S. Nicotri, “Light scalar mesons in the soft-wall model of AdS/QCD,” Phys. Rev. D 78, 055009 (2008) doi:10.1103/PhysRevD.78.055009 [arXiv:0807.1054 [hep-ph]]. (13) S. S. Gubser, I. R. Klebanov and A. M. Polyakov, “A Semiclassical limit of the gauge / string correspondence,” Nucl. Phys. B 636, 99-114 (2002) doi:10.1016/S0550-3213(02)00373-5 [arXiv:hep-th/0204051 [hep-th]]. (14) R. A. Costa-Silva and H. Boschi-Filho, “Anomalous and linear holographic hard wall models for glueballs and the pomeron,” Phys. Rev. D 109, no.8, 086019 (2024) doi:10.1103/PhysRevD.109.086019 [arXiv:2306.04728 [hep-ph]]. (15) R. L. Workman et al. [Particle Data Group], “Review of Particle Physics,” PTEP 2022, 083C01 (2022) doi:10.1093/ptep/ptac097 (16) J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]]. P. Colangelo, F. De Fazio, F. Giannuzzi, F. Jugeau and S. Nicotri, “Light scalar mesons in the soft-wall model of AdS/QCD,” Phys. Rev. D 78, 055009 (2008) doi:10.1103/PhysRevD.78.055009 [arXiv:0807.1054 [hep-ph]]. (13) S. S. Gubser, I. R. Klebanov and A. M. Polyakov, “A Semiclassical limit of the gauge / string correspondence,” Nucl. Phys. B 636, 99-114 (2002) doi:10.1016/S0550-3213(02)00373-5 [arXiv:hep-th/0204051 [hep-th]]. (14) R. A. Costa-Silva and H. Boschi-Filho, “Anomalous and linear holographic hard wall models for glueballs and the pomeron,” Phys. Rev. D 109, no.8, 086019 (2024) doi:10.1103/PhysRevD.109.086019 [arXiv:2306.04728 [hep-ph]]. (15) R. L. Workman et al. [Particle Data Group], “Review of Particle Physics,” PTEP 2022, 083C01 (2022) doi:10.1093/ptep/ptac097 (16) J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]]. S. S. Gubser, I. R. Klebanov and A. M. Polyakov, “A Semiclassical limit of the gauge / string correspondence,” Nucl. Phys. B 636, 99-114 (2002) doi:10.1016/S0550-3213(02)00373-5 [arXiv:hep-th/0204051 [hep-th]]. (14) R. A. Costa-Silva and H. Boschi-Filho, “Anomalous and linear holographic hard wall models for glueballs and the pomeron,” Phys. Rev. D 109, no.8, 086019 (2024) doi:10.1103/PhysRevD.109.086019 [arXiv:2306.04728 [hep-ph]]. (15) R. L. Workman et al. [Particle Data Group], “Review of Particle Physics,” PTEP 2022, 083C01 (2022) doi:10.1093/ptep/ptac097 (16) J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]]. R. A. Costa-Silva and H. Boschi-Filho, “Anomalous and linear holographic hard wall models for glueballs and the pomeron,” Phys. Rev. D 109, no.8, 086019 (2024) doi:10.1103/PhysRevD.109.086019 [arXiv:2306.04728 [hep-ph]]. (15) R. L. Workman et al. [Particle Data Group], “Review of Particle Physics,” PTEP 2022, 083C01 (2022) doi:10.1093/ptep/ptac097 (16) J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]]. R. L. Workman et al. [Particle Data Group], “Review of Particle Physics,” PTEP 2022, 083C01 (2022) doi:10.1093/ptep/ptac097 (16) J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]]. J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]].
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D 109, no.8, 086019 (2024) doi:10.1103/PhysRevD.109.086019 [arXiv:2306.04728 [hep-ph]]. (15) R. L. Workman et al. [Particle Data Group], “Review of Particle Physics,” PTEP 2022, 083C01 (2022) doi:10.1093/ptep/ptac097 (16) J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]]. A. Karch, E. Katz, D. T. Son and M. A. Stephanov, “Linear confinement and AdS/QCD,” Phys. Rev. D 74, 015005 (2006) doi:10.1103/PhysRevD.74.015005 [arXiv:hep-ph/0602229 [hep-ph]]. (12) P. Colangelo, F. De Fazio, F. Giannuzzi, F. Jugeau and S. Nicotri, “Light scalar mesons in the soft-wall model of AdS/QCD,” Phys. Rev. D 78, 055009 (2008) doi:10.1103/PhysRevD.78.055009 [arXiv:0807.1054 [hep-ph]]. (13) S. S. Gubser, I. R. Klebanov and A. M. Polyakov, “A Semiclassical limit of the gauge / string correspondence,” Nucl. Phys. B 636, 99-114 (2002) doi:10.1016/S0550-3213(02)00373-5 [arXiv:hep-th/0204051 [hep-th]]. (14) R. A. Costa-Silva and H. Boschi-Filho, “Anomalous and linear holographic hard wall models for glueballs and the pomeron,” Phys. Rev. D 109, no.8, 086019 (2024) doi:10.1103/PhysRevD.109.086019 [arXiv:2306.04728 [hep-ph]]. (15) R. L. Workman et al. [Particle Data Group], “Review of Particle Physics,” PTEP 2022, 083C01 (2022) doi:10.1093/ptep/ptac097 (16) J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]]. P. Colangelo, F. De Fazio, F. Giannuzzi, F. Jugeau and S. Nicotri, “Light scalar mesons in the soft-wall model of AdS/QCD,” Phys. Rev. D 78, 055009 (2008) doi:10.1103/PhysRevD.78.055009 [arXiv:0807.1054 [hep-ph]]. (13) S. S. Gubser, I. R. Klebanov and A. M. Polyakov, “A Semiclassical limit of the gauge / string correspondence,” Nucl. Phys. B 636, 99-114 (2002) doi:10.1016/S0550-3213(02)00373-5 [arXiv:hep-th/0204051 [hep-th]]. (14) R. A. Costa-Silva and H. Boschi-Filho, “Anomalous and linear holographic hard wall models for glueballs and the pomeron,” Phys. Rev. D 109, no.8, 086019 (2024) doi:10.1103/PhysRevD.109.086019 [arXiv:2306.04728 [hep-ph]]. (15) R. L. Workman et al. [Particle Data Group], “Review of Particle Physics,” PTEP 2022, 083C01 (2022) doi:10.1093/ptep/ptac097 (16) J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]]. S. S. Gubser, I. R. Klebanov and A. M. Polyakov, “A Semiclassical limit of the gauge / string correspondence,” Nucl. Phys. B 636, 99-114 (2002) doi:10.1016/S0550-3213(02)00373-5 [arXiv:hep-th/0204051 [hep-th]]. (14) R. A. Costa-Silva and H. Boschi-Filho, “Anomalous and linear holographic hard wall models for glueballs and the pomeron,” Phys. Rev. D 109, no.8, 086019 (2024) doi:10.1103/PhysRevD.109.086019 [arXiv:2306.04728 [hep-ph]]. (15) R. L. Workman et al. [Particle Data Group], “Review of Particle Physics,” PTEP 2022, 083C01 (2022) doi:10.1093/ptep/ptac097 (16) J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]]. R. A. Costa-Silva and H. Boschi-Filho, “Anomalous and linear holographic hard wall models for glueballs and the pomeron,” Phys. Rev. D 109, no.8, 086019 (2024) doi:10.1103/PhysRevD.109.086019 [arXiv:2306.04728 [hep-ph]]. (15) R. L. Workman et al. [Particle Data Group], “Review of Particle Physics,” PTEP 2022, 083C01 (2022) doi:10.1093/ptep/ptac097 (16) J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]]. R. L. Workman et al. [Particle Data Group], “Review of Particle Physics,” PTEP 2022, 083C01 (2022) doi:10.1093/ptep/ptac097 (16) J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]]. J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]].
- A. Karch, E. Katz, D. T. Son and M. A. Stephanov, “Linear confinement and AdS/QCD,” Phys. Rev. D 74, 015005 (2006) doi:10.1103/PhysRevD.74.015005 [arXiv:hep-ph/0602229 [hep-ph]]. (12) P. Colangelo, F. De Fazio, F. Giannuzzi, F. Jugeau and S. Nicotri, “Light scalar mesons in the soft-wall model of AdS/QCD,” Phys. Rev. D 78, 055009 (2008) doi:10.1103/PhysRevD.78.055009 [arXiv:0807.1054 [hep-ph]]. (13) S. S. Gubser, I. R. Klebanov and A. M. Polyakov, “A Semiclassical limit of the gauge / string correspondence,” Nucl. Phys. B 636, 99-114 (2002) doi:10.1016/S0550-3213(02)00373-5 [arXiv:hep-th/0204051 [hep-th]]. (14) R. A. Costa-Silva and H. Boschi-Filho, “Anomalous and linear holographic hard wall models for glueballs and the pomeron,” Phys. Rev. D 109, no.8, 086019 (2024) doi:10.1103/PhysRevD.109.086019 [arXiv:2306.04728 [hep-ph]]. (15) R. L. Workman et al. [Particle Data Group], “Review of Particle Physics,” PTEP 2022, 083C01 (2022) doi:10.1093/ptep/ptac097 (16) J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]]. P. Colangelo, F. De Fazio, F. Giannuzzi, F. Jugeau and S. Nicotri, “Light scalar mesons in the soft-wall model of AdS/QCD,” Phys. Rev. D 78, 055009 (2008) doi:10.1103/PhysRevD.78.055009 [arXiv:0807.1054 [hep-ph]]. (13) S. S. Gubser, I. R. Klebanov and A. M. Polyakov, “A Semiclassical limit of the gauge / string correspondence,” Nucl. Phys. B 636, 99-114 (2002) doi:10.1016/S0550-3213(02)00373-5 [arXiv:hep-th/0204051 [hep-th]]. (14) R. A. Costa-Silva and H. Boschi-Filho, “Anomalous and linear holographic hard wall models for glueballs and the pomeron,” Phys. Rev. D 109, no.8, 086019 (2024) doi:10.1103/PhysRevD.109.086019 [arXiv:2306.04728 [hep-ph]]. (15) R. L. Workman et al. [Particle Data Group], “Review of Particle Physics,” PTEP 2022, 083C01 (2022) doi:10.1093/ptep/ptac097 (16) J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]]. S. S. Gubser, I. R. Klebanov and A. M. Polyakov, “A Semiclassical limit of the gauge / string correspondence,” Nucl. Phys. B 636, 99-114 (2002) doi:10.1016/S0550-3213(02)00373-5 [arXiv:hep-th/0204051 [hep-th]]. (14) R. A. Costa-Silva and H. Boschi-Filho, “Anomalous and linear holographic hard wall models for glueballs and the pomeron,” Phys. Rev. D 109, no.8, 086019 (2024) doi:10.1103/PhysRevD.109.086019 [arXiv:2306.04728 [hep-ph]]. (15) R. L. Workman et al. [Particle Data Group], “Review of Particle Physics,” PTEP 2022, 083C01 (2022) doi:10.1093/ptep/ptac097 (16) J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]]. R. A. Costa-Silva and H. Boschi-Filho, “Anomalous and linear holographic hard wall models for glueballs and the pomeron,” Phys. Rev. D 109, no.8, 086019 (2024) doi:10.1103/PhysRevD.109.086019 [arXiv:2306.04728 [hep-ph]]. (15) R. L. Workman et al. [Particle Data Group], “Review of Particle Physics,” PTEP 2022, 083C01 (2022) doi:10.1093/ptep/ptac097 (16) J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]]. R. L. Workman et al. [Particle Data Group], “Review of Particle Physics,” PTEP 2022, 083C01 (2022) doi:10.1093/ptep/ptac097 (16) J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]]. J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]].
- P. Colangelo, F. De Fazio, F. Giannuzzi, F. Jugeau and S. Nicotri, “Light scalar mesons in the soft-wall model of AdS/QCD,” Phys. Rev. D 78, 055009 (2008) doi:10.1103/PhysRevD.78.055009 [arXiv:0807.1054 [hep-ph]]. (13) S. S. Gubser, I. R. Klebanov and A. M. Polyakov, “A Semiclassical limit of the gauge / string correspondence,” Nucl. Phys. B 636, 99-114 (2002) doi:10.1016/S0550-3213(02)00373-5 [arXiv:hep-th/0204051 [hep-th]]. (14) R. A. Costa-Silva and H. Boschi-Filho, “Anomalous and linear holographic hard wall models for glueballs and the pomeron,” Phys. Rev. D 109, no.8, 086019 (2024) doi:10.1103/PhysRevD.109.086019 [arXiv:2306.04728 [hep-ph]]. (15) R. L. Workman et al. [Particle Data Group], “Review of Particle Physics,” PTEP 2022, 083C01 (2022) doi:10.1093/ptep/ptac097 (16) J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]]. S. S. Gubser, I. R. Klebanov and A. M. Polyakov, “A Semiclassical limit of the gauge / string correspondence,” Nucl. Phys. B 636, 99-114 (2002) doi:10.1016/S0550-3213(02)00373-5 [arXiv:hep-th/0204051 [hep-th]]. (14) R. A. Costa-Silva and H. Boschi-Filho, “Anomalous and linear holographic hard wall models for glueballs and the pomeron,” Phys. Rev. D 109, no.8, 086019 (2024) doi:10.1103/PhysRevD.109.086019 [arXiv:2306.04728 [hep-ph]]. (15) R. L. Workman et al. [Particle Data Group], “Review of Particle Physics,” PTEP 2022, 083C01 (2022) doi:10.1093/ptep/ptac097 (16) J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]]. R. A. Costa-Silva and H. Boschi-Filho, “Anomalous and linear holographic hard wall models for glueballs and the pomeron,” Phys. Rev. D 109, no.8, 086019 (2024) doi:10.1103/PhysRevD.109.086019 [arXiv:2306.04728 [hep-ph]]. (15) R. L. Workman et al. [Particle Data Group], “Review of Particle Physics,” PTEP 2022, 083C01 (2022) doi:10.1093/ptep/ptac097 (16) J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]]. R. L. Workman et al. [Particle Data Group], “Review of Particle Physics,” PTEP 2022, 083C01 (2022) doi:10.1093/ptep/ptac097 (16) J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]]. J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]].
- S. S. Gubser, I. R. Klebanov and A. M. Polyakov, “A Semiclassical limit of the gauge / string correspondence,” Nucl. Phys. B 636, 99-114 (2002) doi:10.1016/S0550-3213(02)00373-5 [arXiv:hep-th/0204051 [hep-th]]. (14) R. A. Costa-Silva and H. Boschi-Filho, “Anomalous and linear holographic hard wall models for glueballs and the pomeron,” Phys. Rev. D 109, no.8, 086019 (2024) doi:10.1103/PhysRevD.109.086019 [arXiv:2306.04728 [hep-ph]]. (15) R. L. Workman et al. [Particle Data Group], “Review of Particle Physics,” PTEP 2022, 083C01 (2022) doi:10.1093/ptep/ptac097 (16) J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]]. R. A. Costa-Silva and H. Boschi-Filho, “Anomalous and linear holographic hard wall models for glueballs and the pomeron,” Phys. Rev. D 109, no.8, 086019 (2024) doi:10.1103/PhysRevD.109.086019 [arXiv:2306.04728 [hep-ph]]. (15) R. L. Workman et al. [Particle Data Group], “Review of Particle Physics,” PTEP 2022, 083C01 (2022) doi:10.1093/ptep/ptac097 (16) J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]]. R. L. Workman et al. [Particle Data Group], “Review of Particle Physics,” PTEP 2022, 083C01 (2022) doi:10.1093/ptep/ptac097 (16) J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]]. J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]].
- R. A. Costa-Silva and H. Boschi-Filho, “Anomalous and linear holographic hard wall models for glueballs and the pomeron,” Phys. Rev. D 109, no.8, 086019 (2024) doi:10.1103/PhysRevD.109.086019 [arXiv:2306.04728 [hep-ph]]. (15) R. L. Workman et al. [Particle Data Group], “Review of Particle Physics,” PTEP 2022, 083C01 (2022) doi:10.1093/ptep/ptac097 (16) J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]]. R. L. Workman et al. [Particle Data Group], “Review of Particle Physics,” PTEP 2022, 083C01 (2022) doi:10.1093/ptep/ptac097 (16) J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]]. J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]].
- R. L. Workman et al. [Particle Data Group], “Review of Particle Physics,” PTEP 2022, 083C01 (2022) doi:10.1093/ptep/ptac097 (16) J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]]. J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]].
- J. K. Chen, “Structure of the meson Regge trajectories,” Eur. Phys. J. A 57, no.7, 238 (2021) doi:10.1140/epja/s10050-021-00502-y [arXiv:2102.07993 [hep-ph]].
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