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arXiv · 0908.3009

Stochastic Quantization of Real-Time Thermal Field Theory

T. C. de Aguiar·N. F. Svaiter·G. Menezes
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Abstract

We use the stochastic quantization method to obtain the free scalar propagator of a finite temperature field theory formulated in Minkowski spacetime. First we use the Markovian stochastic quantization approach to present the two-point function of the theory. Second, we assume a Langevin equation with a memory kernel and Einstein's relations with colored noise. The convergence of the stochastic processes in the asymptotic limit of the Markov parameter of these Markovian and non-Markovian Langevin equations for a free scalar theory is obtained. Our formalism can be the starting point to discuss systems at finite temperature out of equilibrium.

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T. C. de Aguiar, N. F. Svaiter, G. Menezes. 2009-08-20. Stochastic Quantization of Real-Time Thermal Field Theory. https://doi.org/10.1063/1.3492927

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