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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Camargo, H.A., Gonzalez de Urreta, E.J. & Socolovsky, M. Weyl geometry, anti-de Sitter space, and \(\Phi^{4}\)-theory. Eur. Phys. J. Plus 131, 172 (2016). https://doi.org/10.1140/epjp/i2016-16172-9
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DOI: https://doi.org/10.1140/epjp/i2016-16172-9