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arXiv · 1804.04569

Stochastic quantization of a self-interacting nonminimal scalar field in semiclassical gravity

Eduardo Antonio dos Reis·Gastão Krein·Tibério de Paula Netto·Ilya L. Shapiro
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Abstract

We employ stochastic quantization for a self-interacting nonminimal massive scalar field in curved spacetime. The covariant background field method and local momentum space representation are used to obtain the Euclidean correlation function and evaluate multi-loop quantum corrections through simultaneous expansions in the curvature tensor and its covariant derivatives and in the noise fields. The stochastic correlation function reproduces the well-known result by Bunch and Parker and is used to construct the effective potential in curved spacetime in an arbitrary dimension $D$ up to the first order in curvature. Furthermore, we present a sample of numerical simulations for $D=3$ in the first order in curvature.

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Eduardo Antonio dos Reis, Gastão Krein, Tibério de Paula Netto, Ilya L. Shapiro. 2018-04-12. Stochastic quantization of a self-interacting nonminimal scalar field in semiclassical gravity. https://doi.org/10.1016/j.physletb.2019.134925

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