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 ${\varphi }^4$ 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.

19 pages, 4 figures

References in corpus (3)

• De Sitter Space and Eternity
• Dynamical Casimir effect and surprises with loop corrections to it
• Feynman rules for higher-spin gauge fields on AdS${}_{d+1}$

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• On interacting quantum fields in various charts of anti de Sitter space-time
• Propagators in curved spacetimes from operator theory