Stochastic Quantization of Scalar Fields in Einstein and Rindler Spacetime

Details Stochastic Quantization of Scalar Fields in Einstein and Rindler Spacetime Stochastic Quantization of Scalar Fields in Einstein and Rindler Spacetime

2007-06-06

arxiv.org/abs/0706.0920v1

J.Phys.A40:8545-8568,2007

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

10.1088/1751-8113/40/29/024

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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