Weyl geometry, anti-de Sitter space, and Φ4-theory

Abstract

We study the Gaussian approximation to the quantum fluctuations of the metric of the fourdimensional anti-de Sitter spacetime. The associated massless scalar field has a quartic self-interaction, for which we construct the generating functional of the n-point correlation functions. The concomitant infrared divergence is cured by a mass renormalization provided by the cosmological constant, which is also responsible for the renormalization of the coupling constant of the field theory.