Analytical evaluation of cosmological correlation functions
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.
Cite
@article{arxiv.2204.07217,
title = {Analytical evaluation of cosmological correlation functions},
author = {T. Heckelbacher and I. Sachs and E. Skvortsov and P. Vanhove},
journal= {arXiv preprint arXiv:2204.07217},
year = {2022}
}
Comments
47 pages. v2: minor corrections. Version published in JHEP