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Analytical evaluation of cosmological correlation functions
Till Heckelbacher (Ludwig-Maximilians-Universität München), Ivo Sachs (Ludwig-Maximilians-Universität München), Evgeny D. Skvortsov (P.N. Lebedev Physical Institute of the Russian Academy of Sciences, University of Mons), Pierre Vanhove (Centre National de la Recherche Scientifique, Commissariat à l'Énergie Atomique et aux Énergies Alternatives)
Abstract: A bstract 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.