2000 character limit reached
Consistent first order action functional for gauge theories (2311.07464v2)
Published 13 Nov 2023 in hep-th, gr-qc, and hep-ph
Abstract: A novel first order action principle has been proposed as the possible foundation for a more fundamental theory of General Relativity and the Standard Model. It is shown in this article that the proposal consistently incorporates gravity and matter fields, and guides to a new and robust path towards unification of fundamental interactions.
- Steven Weinberg, The Quantum theory of fields. Vol. 1: Foundations (Cambridge University Press, 2005).
- T. W. B. Kibble, ``Lorentz invariance and the gravitational field,'' J. Math. Phys. 2, 212–221 (1961).
- Ryoyu Utiyama, ``Invariant theoretical interpretation of interaction,'' Phys. Rev. 101, 1597–1607 (1956).
- C. N. Yang, ``Integral formalism for gauge fields,'' Phys. Rev. Lett. 33, 445–447 (1974).
- Dmitri Diakonov, ``Towards lattice-regularized Quantum Gravity,''  (2011), arXiv:1109.0091 [hep-th] .
- Yuri N. Obukhov and Friedrich W. Hehl, ``Extended Einstein-Cartan theory a la Diakonov: the field equations,'' Phys. Lett. B 713, 321–325 (2012), arXiv:1202.6045 [gr-qc] .
- Jerzy F. Plebanski, ``On the separation of Einsteinian substructures,'' J. Math. Phys. 18, 2511–2520 (1977).
- A. Ashtekar, ``New Variables for Classical and Quantum Gravity,'' Phys. Rev. Lett. 57, 2244–2247 (1986).
- Mehraveh Nikjoo and Tom Zlosnik, ``Hamiltonian formulation of gravity as a spontaneously-broken gauge theory of the Lorentz group,''  (2023), arXiv:2308.01108 [gr-qc] .
- Edward Witten, ``(2+1)-Dimensional Gravity as an Exactly Soluble System,'' Nucl. Phys. B 311, 46 (1988).
- Steven B. Giddings, ``Spontaneous breakdown of diffeomorphism invariance,'' Phys. Lett. B 268, 17–20 (1991).
- Frank Wilczek, ``Riemann-Einstein structure from volume and gauge symmetry,'' Phys. Rev. Lett. 80, 4851–4854 (1998), arXiv:hep-th/9801184 .
- Maximo Banados, ``The Ground-state of General Relativity and Dark Matter,'' Class. Quant. Grav. 24, 5911–5916 (2007), arXiv:hep-th/0701169 .
- John A. Wheeler, ``On the Nature of quantum geometrodynamics,'' Annals Phys. 2, 604–614 (1957).
- Keiichi Akama, ``An Attempt at Pregeometry: Gravity With Composite Metric,'' Prog. Theor. Phys. 60, 1900 (1978).
- C. Wetterich, ``Gravity from spinors,'' Phys. Rev. D 70, 105004 (2004), arXiv:hep-th/0307145 .
- C. Wetterich, ``Pregeometry and spontaneous time-space asymmetry,'' JHEP 06, 069 (2022), arXiv:2101.11519 [gr-qc] .
- J. David Brown and Karel V. Kuchar, ``Dust as a standard of space and time in canonical quantum gravity,'' Phys. Rev. D 51, 5600–5629 (1995), arXiv:gr-qc/9409001 .
- Ted Jacobson and David Mattingly, ``Gravity with a dynamical preferred frame,'' Phys. Rev. D 64, 024028 (2001), arXiv:gr-qc/0007031 .
- Steffen Gielen and Derek K. Wise, ``Lifting General Relativity to Observer Space,'' J. Math. Phys. 54, 052501 (2013), arXiv:1210.0019 [gr-qc] .
- Tomi S. Koivisto and Tom Zlosnik, ``Paths to gravitation via the gauging of parameterized field theories,''  (2022), arXiv:2212.04562 [gr-qc] .
- Tomi Koivisto, ``Cosmology in the Lorentz gauge theory,''  (2023), arXiv:2306.00963 [gr-qc] .
- John C. Baez and John Huerta, ``The Algebra of Grand Unified Theories,'' Bull. Am. Math. Soc. 47, 483–552 (2010), arXiv:0904.1556 [hep-th] .
- R. Percacci, ``SPONTANEOUS SOLDERING,'' Phys. Lett. B 144, 37–40 (1984).
- F. Nesti and R. Percacci, ``Chirality in unified theories of gravity,'' Phys. Rev. D 81, 025010 (2010), arXiv:0909.4537 [hep-th] .
- Ali H. Chamseddine and Viatcheslav Mukhanov, ``On Unification of Gravity and Gauge Interactions,'' JHEP 03, 020 (2016), arXiv:1602.02295 [hep-th] .
- Alessio Maiezza and Fabrizio Nesti, ``Parity from gauge symmetry,'' Eur. Phys. J. C 82, 491 (2022), arXiv:2111.11076 [hep-th] .
- J. L. Chkareuli, ``On gravity unification in SL(2N,C) gauge theories,''  (2023), arXiv:2310.11847 [hep-th] .
- M. B. Halpern, ``Field Strength Formulation of Quantum Chromodynamics,'' Phys. Rev. D 16, 1798 (1977).
- Susumu Okubo and Yasunari Tosa, ``Duffin-kemmer Formulation of Gauge Theories,'' Phys. Rev. D 20, 462 (1979), [Erratum: Phys.Rev.D 23, 1468 (1981)].
- P. M. Lavrov, ``Covariant quantization of Yang-Mills theory in the first order formalism,'' Phys. Lett. B 816, 136182 (2021), arXiv:2101.06868 [hep-th] .
- Priidik Gallagher and Tomi Koivisto, ``The ΛΛ\Lambdaroman_Λ and the CDM as Integration Constants,'' Symmetry 13, 2076 (2021), arXiv:2103.05435 [gr-qc] .
- Vivek Iyer and Robert M. Wald, ``Some properties of Noether charge and a proposal for dynamical black hole entropy,'' Phys. Rev. D 50, 846–864 (1994), arXiv:gr-qc/9403028 .
- Daniel Harlow and Jie-Qiang Wu, ``Covariant phase space with boundaries,'' JHEP 10, 146 (2020), arXiv:1906.08616 [hep-th] .
- MarÃa del Valle Varo GarcÃa, The Covariant Phase Space of Gravity with Boundaries, Ph.D. thesis (2022), arXiv:2301.12418 [gr-qc] .
- Luca Ciambelli, ``From Asymptotic Symmetries to the Corner Proposal,''  (2022) arXiv:2212.13644 [hep-th] .
- G. E. Volovik, ``Gravity through the prism of condensed matter physics,'' Pisma Zh. Eksp. Teor. Fiz. 118, 546–547 (2023), arXiv:2307.14370 [cond-mat.other] .
- F.J. Belinfante, ``On the spin angular momentum of mesons,'' Physica 6, 887–898 (1939).
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Collections
Sign up for free to add this paper to one or more collections.
