Ultraviolet phenomena in AdS self-interacting quantum field theory

We study the one-loop corrections to the four-point function in the Anti de Sitter space-time for a \(\phi^4\) 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 (non-conformal) A...

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Bibliographic Details
Published inarXiv.org
Main Authors Akhmedov, Emil T, Moschella, Ugo, Popov, Fedor K
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 19.03.2018
Subjects
Field theory
Mathematical analysis
Physics - High Energy Physics - Theory
Quantum field theory
Quantum theory
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Summary:We study the one-loop corrections to the four-point function in the Anti de Sitter space-time for a \(\phi^4\) 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 (non-conformal) 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.
ISSN:2331-8422
DOI:10.48550/arxiv.1802.02955