Stochastic quantization of a self-interacting nonminimal scalar field in semiclassical gravity
arXiv:1804.04569 · doi:10.1016/j.physletb.2019.134925
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 up to the first order in curvature. Furthermore, we present a sample of numerical simulations for in the first order in curvature.
arXiv commentCorrected formulations, some two-loop results added. Fits the version accepted in Physics Letters B
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