AdS-CFT Correspondence; Effective Field Theories; Scattering Amplitudes; Nuclear and High Energy Physics; High Energy Physics - Theory
Abstract :
[en] 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.
Research center :
AGIF - Algèbre, Géométrie et Interactions fondamentales
Disciplines :
Physics
Author, co-author :
Heckelbacher, Till; Arnold-Sommerfeld-Center for Theoretical Physics, Ludwig-Maximilians-Universität München, Munich, Germany
Sachs, Ivo; Arnold-Sommerfeld-Center for Theoretical Physics, Ludwig-Maximilians-Universität München, Munich, Germany
Skvortsov, Evgeny ; Université de Mons - UMONS ; Lebedev Institute of Physics, Moscow, Russian Federation
Vanhove, Pierre ; Institut de Physique Theorique, Université Paris-Saclay, CEA, CNRS, Gif-sur-Yvette Cedex, France
Language :
English
Title :
Analytical evaluation of cosmological correlation functions
Publication date :
August 2022
Journal title :
Journal of High Energy Physics
ISSN :
1126-6708
eISSN :
1029-8479
Publisher :
Springer Science and Business Media Deutschland GmbH
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