Ultraviolet phenomena in AdS self-interacting quantum field theory

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作者
Emil T. Akhmedov
Ugo Moschella
Fedor K. Popov
机构
[1] Moscow Institute of Physics and Technology,Dipartimento DiSAT
[2] Institute for Theoretical and Experimental Physics,Department of Physics
[3] Università degli Studi dell’Insubria,undefined
[4] INFN,undefined
[5] Sezione di Milano,undefined
[6] Princeton University,undefined
关键词
Renormalization Group; Renormalization Regularization and Renormalons; AdS-CFT Correspondence;
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摘要
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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