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Article Dans Une Revue JHEP Année : 2022

Analytical evaluation of cosmological correlation functions

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

Résumé

Using the Schwinger-Keldysh-formalism, reformulated in [1] as an effective field theory in Euclidean anti-de Sitter, we evaluate the one-loop cosmological four-point function of a conformally coupled interacting scalar field in de Sitter. Recasting the Witten cosmological correlator as flat space Feynman integrals, we evaluate the one-loop cosmological four-point functions in de Sitter space in terms of single-valued multiple polylogarithms. From it we derive anomalous dimensions and OPE coefficients of the dual conformal field theory at space-like, future infinity. In particular, we find an interesting degeneracy in the anomalous dimensions relating operators of neighboring spins.

Dates et versions

hal-03656421 , version 1 (02-05-2022)

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Citer

Till Heckelbacher, Ivo Sachs, Evgeny Skvortsov, Pierre Vanhove. Analytical evaluation of cosmological correlation functions. JHEP, 2022, 08, pp.139. ⟨10.1007/JHEP08(2022)139⟩. ⟨hal-03656421⟩
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