Is the Coleman–de Luccia Action Minimum?: An AdS/CFT Approach

We use the anti-de Sitter/conformal field theory (AdS/CFT) correspondence to find the least bounce action in an AdS false vacuum state, i.e. the most probable decay process of the metastable AdS vacuum within the Euclidean formalism by Callan and Coleman. It was shown that the O(4) symmetric bounce...

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Published inProgress of Theoretical and Experimental Physics Vol. 2024; no. 6
Main Authors Oshita, Naritaka, Shoji, Yutaro, Yamaguchi, Masahide
Format Journal Article
LanguageEnglish
Published Oxford Oxford University Press (OUP) 01.06.2024
Oxford University Press
Subjects
Gravity
Physics
Theoretical physics
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ISSN2050-3911
2050-3911
DOI10.1093/ptep/ptae068

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Abstract We use the anti-de Sitter/conformal field theory (AdS/CFT) correspondence to find the least bounce action in an AdS false vacuum state, i.e. the most probable decay process of the metastable AdS vacuum within the Euclidean formalism by Callan and Coleman. It was shown that the O(4) symmetric bounce solution leads to the action minimum in the absence of gravity, but it is nontrivial in the presence of gravity. The AdS/CFT duality is used to evade the difficulties particular to a metastable gravitational system. To this end, we show that the Fubini bounce solution in CFT, corresponding to the Coleman–de Luccia (CdL) bounce in AdS, gives the least action among all finite bounce solutions in a conformal scalar field theory. Thus, we prove that the CdL action is the least action among all possible large and thin-wall configurations under certain conditions.
AbstractList We use the anti-de Sitter/conformal field theory (AdS/CFT) correspondence to find the least bounce action in an AdS false vacuum state, i.e. the most probable decay process of the metastable AdS vacuum within the Euclidean formalism by Callan and Coleman. It was shown that the O(4) symmetric bounce solution leads to the action minimum in the absence of gravity, but it is nontrivial in the presence of gravity. The AdS/CFT duality is used to evade the difficulties particular to a metastable gravitational system. To this end, we show that the Fubini bounce solution in CFT, corresponding to the Coleman–de Luccia (CdL) bounce in AdS, gives the least action among all finite bounce solutions in a conformal scalar field theory. Thus, we prove that the CdL action is the least action among all possible large and thin-wall configurations under certain conditions.
Author Masahide Yamaguchi
Naritaka Oshita
Yutaro Shoji
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  surname: Yamaguchi
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Snippet We use the anti-de Sitter/conformal field theory (AdS/CFT) correspondence to find the least bounce action in an AdS false vacuum state, i.e. the most probable...
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SubjectTerms Gravity
Physics
Theoretical physics
Title Is the Coleman–de Luccia Action Minimum?: An AdS/CFT Approach
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