English

Ultraviolet phenomena in AdS self-interacting quantum field theory

High Energy Physics - Theory 2020-05-20 v2

Abstract

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

Keywords

Cite

@article{arxiv.1802.02955,
  title  = {Ultraviolet phenomena in AdS self-interacting quantum field theory},
  author = {Emil T. Akhmedov and Ugo Moschella and Fedor K. Popov},
  journal= {arXiv preprint arXiv:1802.02955},
  year   = {2020}
}

Comments

19 pages, 4 figures

R2 v1 2026-06-23T00:16:10.581Z