Weyl geometry, anti-De Sitter space, and $\Phi^4$-theory
General Physics
2021-10-29 v1
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 -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.
Cite
@article{arxiv.1511.04403,
title = {Weyl geometry, anti-De Sitter space, and $\Phi^4$-theory},
author = {H. A. Camargo and E. J. Gonzalez de Urreta and M. Socolovsky},
journal= {arXiv preprint arXiv:1511.04403},
year = {2021}
}
Comments
9 pages, 1 figure