Analytical evaluation of cosmological correlation functions
Résumé
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.
Mots clés
AdS-CFT Correspondence
Scattering Amplitudes
Effective Field Theories
n-point function: 4
interaction: scalar
space: de Sitter
field theory: conformal
field theory: scalar
correlation function
anomalous dimension
operator product expansion
duality
spin
anti-de Sitter
Keldysh formalism
Feynman graph
effective field theory