Stochastic Quantization of Scalar Fields in Einstein and Rindler Spacetime

Abstract

We consider the stochastic quantization method for scalar fields defined in a curved manifold and also in a flat space-time with event horizon. The two-point function associated to a massive self-interacting scalar field is evaluated, up to the first order level in the coupling constant, for the case of an Einstein and also a Rindler Euclidean metric, respectively. Its value for the asymptotic limit of the Markov parameter is exhibited. The divergences therein are taken care of by employing a covariant stochastic regularization.

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Cited by in corpus (5)

• Thermal Radiation from a Fluctuating Event Horizon
• Stochastic Quantization of Scalar Fields in de Sitter Spacetime
• Stochastic Quantization for Complex Actions
• Stochastic quantization of a self-interacting nonminimal scalar field in semiclassical gravity
• Stochastic Quantization of Real-Time Thermal Field Theory