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arXiv · 2204.07217

Analytical evaluation of cosmological correlation functions

T. Heckelbacher·I. Sachs·E. Skvortsov·P. Vanhove
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Abstract

Using the Schwinger-Keldysh-formalism, reformulated in arXiv:2108.01695 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.

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T. Heckelbacher, I. Sachs, E. Skvortsov, P. Vanhove. 2022-08-22. Analytical evaluation of cosmological correlation functions. https://doi.org/10.1007/jhep08(2022)139

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