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

Authors
  • Camargo, H. A.
  • de Urreta, E. J. Gonzalez
  • Socolovsky, M.
Type
Preprint
Publication Date
Oct 19, 2015
Submission Date
Oct 19, 2015
Identifiers
arXiv ID: 1511.04403
Source
arXiv
License
Yellow
External links

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.

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