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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Bibliographic Details
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:
Online Access:http://link.springer.com/article/10.1007/JHEP03(2018)183
Description
Summary: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.
ISSN:1029-8479