Loops in Anti-de Sitter Space

We obtain analytic results for the four-point amplitude, at one loop, of an interacting scalar field theory in four-dimensional, Euclidean anti-de Sitter space without exerting any conformal field theory knowledge. For the two-point function, we provide analytic expressions up to two loops. In addit...

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Bibliographic Details
Published inarXiv.org
Main Authors Bertan, Igor, Sachs, Ivo
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 06.09.2018
Subjects
Euclidean geometry
Field theory
Physics - High Energy Physics - Theory
Quantum theory
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Summary:We obtain analytic results for the four-point amplitude, at one loop, of an interacting scalar field theory in four-dimensional, Euclidean anti-de Sitter space without exerting any conformal field theory knowledge. For the two-point function, we provide analytic expressions up to two loops. In addition, we argue that the critical exponents of correlation functions near the conformal boundary of anti-de Sitter space provide the necessary data for the renormalization conditions, thus replacing the usual on-shell condition.
Bibliography:LMU-ASC 16/18
ISSN:2331-8422
DOI:10.48550/arxiv.1804.01880