2000 character limit reached
Exact Tunneling Solutions in Multi-Field Potentials
Published 19 Dec 2023 in hep-th, gr-qc, and hep-ph | (2312.12360v1)
Abstract: The tunneling potential formalism makes it easy to construct exact solutions to the vacuum decay problem in potentials with multiple fields. While some exact solutions for single-field decays were known, we present the first nontrivial analytic examples with two and three scalar fields, and show how the method can be generalized to include gravitational corrections. Our results illuminate some analytic properties of the tunneling potential functions and can have a number of uses, among others: to serve as simple approximations to realistic potentials; to learn about parametric dependencies of decay rates; to check conjectures on vacuum decay; as benchmarks for multi-field numerical codes; or to study holographic interpretations of vacuum decay.
- S.R. Coleman, “The Fate of the False Vacuum. 1. Semiclassical Theory,” Phys. Rev. D 15 (1977) 2929 Erratum: [Phys. Rev. D 16 (1977) 1248].
- S.R. Coleman and F. De Luccia, “Gravitational Effects on and of Vacuum Decay,” Phys. Rev. D 21 (1980) 3305.
- G. Degrassi, S. Di Vita, J. Elias-Miro, J. R. Espinosa, G. F. Giudice, G. Isidori and A. Strumia, “Higgs mass and vacuum stability in the Standard Model at NNLO,” JHEP 08 (2012) 098 [hep-ph/1205.6497].
- A. Aravind, B.S. DiNunno, D. Lorshbough and S. Paban, “Analyzing multifield tunneling with exact bounce solutions,” Phys. Rev. D 91 (2015) 025026 [hep-th/1412.3160].
- J. R. Espinosa, “Vacuum Decay in the Standard Model: Analytical Results with Running and Gravity,” JCAP 06 (2020) 052 [hep-ph/2003.06219].
- J. J. Blanco-Pillado, J. R. Espinosa, J. Huertas and K. Sousa, “Bubbles of Nothing: The Tunneling Potential Approach,” [hep-th/2312.00133].
- J.E. Camargo-Molina, B. O’Leary, W. Porod and F. Staub, “𝐕𝐞𝐯𝐚𝐜𝐢𝐨𝐮𝐬𝐕𝐞𝐯𝐚𝐜𝐢𝐨𝐮𝐬\mathbf{Vevacious}bold_Vevacious: A Tool For Finding The Global Minima Of One-Loop Effective Potentials With Many Scalars,” Eur. Phys. J. C 73 (2013) 10, 2588 [hep-ph/1307.1477].
- C. L. Wainwright, “CosmoTransitions: Computing Cosmological Phase Transition Temperatures and Bubble Profiles with Multiple Fields,” Comput. Phys. Commun. 183 (2012) 2006 [hep-ph/1109.4189].
- A. Masoumi, K.D. Olum, B. Shlaer, “Efficient numerical solution to vacuum decay with many fields,” JCAP 1701 (2017) 051 [gr-qc/1610.06594]; A. Masoumi, K.D. Olum, J.M. Wachter, “Approximating tunneling rates in multi-dimensional field spaces,” JCAP 1710 (2017) 022 [gr-qc/1702.00356].
- P. Athron, C. Balázs, M. Bardsley, A. Fowlie, D. Harries and G. White, “BubbleProfiler: finding the field profile and action for cosmological phase transitions,” Comput. Phys. Commun. 244 (2019) 448 [hep-ph/1901.03714].
- R. Sato, “SimpleBounce : a simple package for the false vacuum decay,” Comput. Phys. Commun. 258 (2021) 107566 [hep-ph/1908.10868].
- V. Guada, M. Nemevšek and M. Pintar, “FindBounce: Package for multi-field bounce actions,” Comput. Phys. Commun. 256 (2020) 107480 [hep-ph/2002.00881].
- X. Dong and D. Harlow, “Analytic Coleman-De Luccia Geometries,” JCAP 1111 (2011) 044 [hep-th/1109.0011].
- B. Freivogel, Y. Sekino, L. Susskind and C. P. Yeh, “A Holographic framework for eternal inflation,” Phys. Rev. D 74 (2006) 086003 [hep-th/0606204].
- J. Maldacena, “Vacuum decay into Anti de Sitter space,” [hep-th/1012.0274].
- J. R. Espinosa, “A Fresh Look at the Calculation of Tunneling Actions,” JCAP 07 (2018) 036 [hep-th/1805.03680].
- J. R. Espinosa, “Fresh look at the calculation of tunneling actions including gravitational effects,” Phys. Rev. D 100 (2019) 104007 [hep-th/1808.00420].
- A. Ferraz de Camargo, R.C. Shellard and G.C. Marques, “Vacuum Decay in a Soluble Model,” Phys. Rev. D 29 (1984) 1147; K.M. Lee and E.J. Weinberg, “Tunneling Without Barriers,” Nucl. Phys. B 267 (1986) 181. M.J. Duncan and L.G. Jensen, “Exact tunneling solutions in scalar field theory,” Phys. Lett. B 291 (1992) 109; T. Hamazaki, M. Sasaki, T. Tanaka and K. Yamamoto, “Selfexcitation of the tunneling scalar field in false vacuum decay,” Phys. Rev. D 53 (1996) 2045 [gr-qc/9507006]; K. Dutta, C. Hector, P.M. Vaudrevange and A. Westphal, “More Exact Tunneling Solutions in Scalar Field Theory,” Phys. Lett. B 708 (2012) 309 [hep-th/1110.2380]; K. Dutta, C. Hector, T. Konstandin, P.M. Vaudrevange and A. Westphal, “Validity of the kink approximation to the tunneling action,” Phys. Rev. D 86 (2012) 123517 [hep-th/1202.2721]; G. Pastras, “Exact Tunneling Solutions in Minkowski Spacetime and a Candidate for Dark Energy,” JHEP 1308 (2013) 075 [hep-th/1102.4567]; V. Guada, A. Maiezza and M. Nemevšek, “Multifield Polygonal Bounces,” Phys. Rev. D 99 (2019) 056020 [hep-th/1803.02227].
- J. R. Espinosa and T. Konstandin, “A Fresh Look at the Calculation of Tunneling Actions in Multi-Field Potentials,” JCAP 01 (2019) 051 [hep-th/1811.09185].
- J. R. Espinosa, J. F. Fortin and J. Huertas, “Exactly solvable vacuum decays with gravity,” Phys. Rev. D 104 (2021) 065007 [hep-th/2106.15505].
- S. de Haro, I. Papadimitriou and A. C. Petkou, “Conformally Coupled Scalars, Instantons and Vacuum Instability in AdS(4),” Phys. Rev. Lett. 98 (2007) 231601 [hep-th/0611315]; I. Papadimitriou, “Multi-Trace Deformations in AdS/CFT: Exploring the Vacuum Structure of the Deformed CFT,” JHEP 0705 (2007) 075 [hep-th/0703152]; S. Kanno and J. Soda, “Exact Coleman-de Luccia Instantons,” Int. J. Mod. Phys. D 21 (2012) 1250040 [hep-th/1111.0720]; S. Kanno, M. Sasaki and J. Soda, “Tunneling without barriers with gravity,” Class. Quant. Grav. 29 (2012) 075010 [hep-th/1201.2272]; N. Tetradis, Phys. Rev. D 108 (2023) 036008 [hep-ph/2302.12132].
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.