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

H. A. Camargo; E. J. Gonzalez de Urreta; M. Socolovsky

doi:10.1140/epjp/i2016-16172-9

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arXiv · 1511.04403

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

H. A. Camargo·E. J. Gonzalez de Urreta·M. Socolovsky

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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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H. A. Camargo, E. J. Gonzalez de Urreta, M. Socolovsky. 2015-10-20. Weyl geometry, anti-De Sitter space, and $\Phi^4$-theory. https://doi.org/10.1140/epjp%2Fi2016-16172-9

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