Black hole induced false vacuum decay from first principles

Abstract We provide a method to calculate the rate of false vacuum decay induced by a black hole. The method uses complex tunneling solutions and consistently takes into account the structure of different quantum vacua in the black hole metric via boundary conditions. The latter are connected to the...

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Autores principales: Andrey Shkerin, Sergey Sibiryakov
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Lenguaje:EN
Publicado: SpringerOpen 2021
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Acceso en línea:https://doaj.org/article/101d0122bc6549e2a393af72a3991911
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spelling oai:doaj.org-article:101d0122bc6549e2a393af72a39919112021-12-05T12:25:20ZBlack hole induced false vacuum decay from first principles10.1007/JHEP11(2021)1971029-8479https://doaj.org/article/101d0122bc6549e2a393af72a39919112021-11-01T00:00:00Zhttps://doi.org/10.1007/JHEP11(2021)197https://doaj.org/toc/1029-8479Abstract We provide a method to calculate the rate of false vacuum decay induced by a black hole. The method uses complex tunneling solutions and consistently takes into account the structure of different quantum vacua in the black hole metric via boundary conditions. The latter are connected to the asymptotic behavior of the time-ordered Green’s function in the corresponding vacua. We illustrate the technique on a two-dimensional toy model of a scalar field with inverted Liouville potential in an external background of a dilaton black hole. We analytically derive the exponential suppression of tunneling from the Boulware, Hartle-Hawking and Unruh vacua and show that they are parametrically different. The Unruh vacuum decay rate is exponentially smaller than the decay rate of the Hartle-Hawking state, though both rates become unsuppressed at high enough black hole temperature. We interpret the vanishing suppression of the Unruh vacuum decay at high temperature as an artifact of the two-dimensional model and discuss why this result can be modified in the realistic case of black holes in four dimensions.Andrey ShkerinSergey SibiryakovSpringerOpenarticleBlack HolesSolitons Monopoles and InstantonsNonperturbative Effects2D GravityNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENJournal of High Energy Physics, Vol 2021, Iss 11, Pp 1-71 (2021)
institution DOAJ
collection DOAJ
language EN
topic Black Holes
Solitons Monopoles and Instantons
Nonperturbative Effects
2D Gravity
Nuclear and particle physics. Atomic energy. Radioactivity
QC770-798
spellingShingle Black Holes
Solitons Monopoles and Instantons
Nonperturbative Effects
2D Gravity
Nuclear and particle physics. Atomic energy. Radioactivity
QC770-798
Andrey Shkerin
Sergey Sibiryakov
Black hole induced false vacuum decay from first principles
description Abstract We provide a method to calculate the rate of false vacuum decay induced by a black hole. The method uses complex tunneling solutions and consistently takes into account the structure of different quantum vacua in the black hole metric via boundary conditions. The latter are connected to the asymptotic behavior of the time-ordered Green’s function in the corresponding vacua. We illustrate the technique on a two-dimensional toy model of a scalar field with inverted Liouville potential in an external background of a dilaton black hole. We analytically derive the exponential suppression of tunneling from the Boulware, Hartle-Hawking and Unruh vacua and show that they are parametrically different. The Unruh vacuum decay rate is exponentially smaller than the decay rate of the Hartle-Hawking state, though both rates become unsuppressed at high enough black hole temperature. We interpret the vanishing suppression of the Unruh vacuum decay at high temperature as an artifact of the two-dimensional model and discuss why this result can be modified in the realistic case of black holes in four dimensions.
format article
author Andrey Shkerin
Sergey Sibiryakov
author_facet Andrey Shkerin
Sergey Sibiryakov
author_sort Andrey Shkerin
title Black hole induced false vacuum decay from first principles
title_short Black hole induced false vacuum decay from first principles
title_full Black hole induced false vacuum decay from first principles
title_fullStr Black hole induced false vacuum decay from first principles
title_full_unstemmed Black hole induced false vacuum decay from first principles
title_sort black hole induced false vacuum decay from first principles
publisher SpringerOpen
publishDate 2021
url https://doaj.org/article/101d0122bc6549e2a393af72a3991911
work_keys_str_mv AT andreyshkerin blackholeinducedfalsevacuumdecayfromfirstprinciples
AT sergeysibiryakov blackholeinducedfalsevacuumdecayfromfirstprinciples
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