Ultraviolet phenomena in AdS self-interacting quantum field theory

Emil T. Akhmedov; Ugo Moschella; Fedor K. Popov

doi:10.1007/JHEP03(2018)183

Ultraviolet phenomena in AdS self-interacting quantum field theory

Emil T. Akhmedov
, Ugo Moschella
, Fedor K. Popov

Simons Center for Geometry & Physics

Moscow Institute of Physics and Technology
Alikhanov Institute for Theoretical and Experimental Physics
University of Insubria
National Institute for Nuclear Physics

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

We study the one-loop corrections to the four-point function in the Anti de Sitter space-time for a ϕ⁴ 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.

Original language	English
Article number	183
Journal	Journal of High Energy Physics
Volume	2018
Issue number	3
DOIs	https://doi.org/10.1007/JHEP03(2018)183
State	Published - Mar 1 2018

Keywords

AdS-CFT Correspondence
Renormalization Group
Renormalization Regularization and Renormalons

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10.1007/JHEP03(2018)183

Cite this

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abstract = "We study the one-loop corrections to the four-point function in the Anti de Sitter space-time for a ϕ4 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.",

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AU - Popov, Fedor K.

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AB - We study the one-loop corrections to the four-point function in the Anti de Sitter space-time for a ϕ4 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.

KW - AdS-CFT Correspondence

KW - Renormalization Group

KW - Renormalization Regularization and Renormalons

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Ultraviolet phenomena in AdS self-interacting quantum field theory

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Keywords

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