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Article Dans Une Revue Journal of High Energy Physics Année : 2022

Analytical evaluation of AdS$_{4}$ Witten diagrams as flat space multi-loop Feynman integrals

Till Heckelbacher
  • Fonction : Auteur
Ivo Sachs
  • Fonction : Auteur
Evgeny Skvortsov
  • Fonction : Auteur

Résumé

We describe a systematic approach for the evaluation of Witten diagrams for multi-loop scattering amplitudes of a conformally coupled scalar ϕ$^{4}$-theory in Euclidean AdS$_{4}$, by recasting the Witten diagrams as flat space Feynman integrals. We derive closed form expressions for the anomalous dimensions for all double-trace operators up to the second order in the coupling constant. We explain the relation between the flat space unitarity methods and the discontinuities of the short distance expansion on the boundary of Witten diagrams.

Dates et versions

hal-03559764 , version 1 (07-02-2022)

Identifiants

Citer

Till Heckelbacher, Ivo Sachs, Evgeny Skvortsov, Pierre Vanhove. Analytical evaluation of AdS$_{4}$ Witten diagrams as flat space multi-loop Feynman integrals. Journal of High Energy Physics, 2022, 08, pp.052. ⟨10.1007/JHEP08(2022)052⟩. ⟨hal-03559764⟩
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