Revisiting Coleman-de Luccia transitions in the AdS regime using holography

Abstract Coleman-de Luccia processes for AdS to AdS decays in Einstein-scalar theories are studied. Such tunnelling processes are interpreted as vev-driven holographic RG flows of a quantum field theory on de Sitter space-time. These flows do not exist for generic scalar potentials, which is the hol...

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Main Authors: Jewel K. Ghosh, Elias Kiritsis, Francesco Nitti, Lukas T. Witkowski
Format: Article
Language:English
Published: SpringerOpen 2021-09-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP09(2021)065
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author Jewel K. Ghosh
Elias Kiritsis
Francesco Nitti
Lukas T. Witkowski
author_facet Jewel K. Ghosh
Elias Kiritsis
Francesco Nitti
Lukas T. Witkowski
author_sort Jewel K. Ghosh
collection DOAJ
description Abstract Coleman-de Luccia processes for AdS to AdS decays in Einstein-scalar theories are studied. Such tunnelling processes are interpreted as vev-driven holographic RG flows of a quantum field theory on de Sitter space-time. These flows do not exist for generic scalar potentials, which is the holographic formulation of the fact that gravity can act to stabilise false AdS vacua. The existence of Coleman-de Luccia tunnelling solutions in a potential with a false AdS vacuum is found to be tied to the existence of exotic RG flows in the same potential. Such flows are solutions where the flow skips possible fixed points or reverses direction in the coupling. This connection is employed to construct explicit potentials that admit Coleman-de Luccia instantons in AdS and to study the associated tunnelling solutions. Thin-walled instantons are observed to correspond to dual field theories with a parametrically large value of the dimension ∆ for the operator dual to the scalar field, casting doubt on the attainability of this regime in holography. From the boundary perspective, maximally symmetric instantons describe the probability of symmetry breaking of the dual QFT in de Sitter. It is argued that, even when such instantons exist, they do not imply an instability of the same theory on flat space or on R × S 3.
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spelling doaj.art-cd24429bff374bfc86dfbd45d5282c9f2022-12-21T22:08:16ZengSpringerOpenJournal of High Energy Physics1029-84792021-09-012021918810.1007/JHEP09(2021)065Revisiting Coleman-de Luccia transitions in the AdS regime using holographyJewel K. Ghosh0Elias Kiritsis1Francesco Nitti2Lukas T. Witkowski3Independent University Bangladesh (IUB)APC, AstroParticule et Cosmologie, Université de Paris, CNRS/IN2P3, CEA/IRFUAPC, AstroParticule et Cosmologie, Université de Paris, CNRS/IN2P3, CEA/IRFUInstitut d’Astrophysique de Paris, GReCO, UMR 7095 du CNRS et de Sorbonne UniversitéAbstract Coleman-de Luccia processes for AdS to AdS decays in Einstein-scalar theories are studied. Such tunnelling processes are interpreted as vev-driven holographic RG flows of a quantum field theory on de Sitter space-time. These flows do not exist for generic scalar potentials, which is the holographic formulation of the fact that gravity can act to stabilise false AdS vacua. The existence of Coleman-de Luccia tunnelling solutions in a potential with a false AdS vacuum is found to be tied to the existence of exotic RG flows in the same potential. Such flows are solutions where the flow skips possible fixed points or reverses direction in the coupling. This connection is employed to construct explicit potentials that admit Coleman-de Luccia instantons in AdS and to study the associated tunnelling solutions. Thin-walled instantons are observed to correspond to dual field theories with a parametrically large value of the dimension ∆ for the operator dual to the scalar field, casting doubt on the attainability of this regime in holography. From the boundary perspective, maximally symmetric instantons describe the probability of symmetry breaking of the dual QFT in de Sitter. It is argued that, even when such instantons exist, they do not imply an instability of the same theory on flat space or on R × S 3.https://doi.org/10.1007/JHEP09(2021)065AdS-CFT CorrespondenceNonperturbative Effects
spellingShingle Jewel K. Ghosh
Elias Kiritsis
Francesco Nitti
Lukas T. Witkowski
Revisiting Coleman-de Luccia transitions in the AdS regime using holography
Journal of High Energy Physics
AdS-CFT Correspondence
Nonperturbative Effects
title Revisiting Coleman-de Luccia transitions in the AdS regime using holography
title_full Revisiting Coleman-de Luccia transitions in the AdS regime using holography
title_fullStr Revisiting Coleman-de Luccia transitions in the AdS regime using holography
title_full_unstemmed Revisiting Coleman-de Luccia transitions in the AdS regime using holography
title_short Revisiting Coleman-de Luccia transitions in the AdS regime using holography
title_sort revisiting coleman de luccia transitions in the ads regime using holography
topic AdS-CFT Correspondence
Nonperturbative Effects
url https://doi.org/10.1007/JHEP09(2021)065
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