Weyl geometry, anti-De Sitter space, and ${\Phi }^4$-theory

Abstract

We study the Gaussian approximation to the quantum fluctuations of the metric of the four dimensional 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.

9 pages, 1 figure

References in corpus (2)

• On the Conformal forms of the Robertson-Walker metric
• Conformally flat spacetimes and Weyl frames