Ultraviolet phenomena in AdS self-interacting quantum field theory

Ultraviolet phenomena in AdS self-interacting quantum field theory

Abstract We study the one-loop corrections to the four-point function in the Anti de Sitter space-time for a ϕ 4 field theory. Our calculation shows the existence of non-local counterterms which however respect the AdS isometry. Our arguments are quite general and applicable to other AdS field theor...

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Main Authors: Emil T. Akhmedov, Ugo Moschella, Fedor K. Popov
Format: Article
Language:English
Published: SpringerOpen 2018-03-01
Series:Journal of High Energy Physics
Subjects:
Renormalization Group
Renormalization Regularization and Renormalons
AdS-CFT Correspondence
Online Access:http://link.springer.com/article/10.1007/JHEP03(2018)183
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spelling doaj-a0b8a6a12c7b4c6eae2cccbe7dab51d92020-11-25T00:54:42ZengSpringerOpenJournal of High Energy Physics1029-84792018-03-012018311910.1007/JHEP03(2018)183Ultraviolet phenomena in AdS self-interacting quantum field theoryEmil T. Akhmedov0Ugo Moschella1Fedor K. Popov2Moscow Institute of Physics and TechnologyDipartimento DiSAT, Università degli Studi dell’InsubriaMoscow Institute of Physics and TechnologyAbstract We study the one-loop corrections to the four-point function in the Anti de Sitter space-time for a ϕ 4 field theory. Our calculation shows the existence of non-local counterterms which however respect the AdS isometry. Our arguments are quite general and applicable to other AdS field theories. We also explain why calculations in Euclidean and Lorentzian signatures should differ even at the leading order in non globaly hyperbolic manifolds.http://link.springer.com/article/10.1007/JHEP03(2018)183Renormalization GroupRenormalization Regularization and RenormalonsAdS-CFT Correspondence
collection DOAJ
language English
format Article
sources DOAJ
author Emil T. Akhmedov
Ugo Moschella
Fedor K. Popov
spellingShingle Emil T. Akhmedov
Ugo Moschella
Fedor K. Popov
Ultraviolet phenomena in AdS self-interacting quantum field theory
Journal of High Energy Physics
Renormalization Group
Renormalization Regularization and Renormalons
AdS-CFT Correspondence
author_facet Emil T. Akhmedov
Ugo Moschella
Fedor K. Popov
author_sort Emil T. Akhmedov
title Ultraviolet phenomena in AdS self-interacting quantum field theory
title_short Ultraviolet phenomena in AdS self-interacting quantum field theory
title_full Ultraviolet phenomena in AdS self-interacting quantum field theory
title_fullStr Ultraviolet phenomena in AdS self-interacting quantum field theory
title_full_unstemmed Ultraviolet phenomena in AdS self-interacting quantum field theory
title_sort ultraviolet phenomena in ads self-interacting quantum field theory
publisher SpringerOpen
series Journal of High Energy Physics
issn 1029-8479
publishDate 2018-03-01
description Abstract We study the one-loop corrections to the four-point function in the Anti de Sitter space-time for a ϕ 4 field theory. Our calculation shows the existence of non-local counterterms which however respect the AdS isometry. Our arguments are quite general and applicable to other AdS field theories. We also explain why calculations in Euclidean and Lorentzian signatures should differ even at the leading order in non globaly hyperbolic manifolds.
topic Renormalization Group
Renormalization Regularization and Renormalons
AdS-CFT Correspondence
url http://link.springer.com/article/10.1007/JHEP03(2018)183
work_keys_str_mv AT emiltakhmedov ultravioletphenomenainadsselfinteractingquantumfieldtheory
AT ugomoschella ultravioletphenomenainadsselfinteractingquantumfieldtheory
AT fedorkpopov ultravioletphenomenainadsselfinteractingquantumfieldtheory
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