Abstract
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.
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Heckelbacher, T., Sachs, I., Skvortsov, E. et al. Analytical evaluation of cosmological correlation functions. J. High Energ. Phys. 2022, 139 (2022). https://doi.org/10.1007/JHEP08(2022)139
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DOI: https://doi.org/10.1007/JHEP08(2022)139