The Stochastic Quantization Method for Systems with Dissipation

Details The Stochastic Quantization Method for Systems with Dissipation The Stochastic Quantization Method for Systems with Dissipation

1994-04-27

arxiv.org/abs/hep-th/9404167v1

Nucl.Phys. B430 (1994) 695-706

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, tex file, (one figure available upon request), USITP-94-06

Scientific paper

10.1016/0550-3213(94)90166-X

The stochastic quantization of dissipative systems is discussed. It is shown that in order to stochastically quantize a system with dissipation, one has to restrict the Fourier transform of the space-time variable to the positive half domain in the complex plane. This breaks the time-reversal invariance, which manifests in the formulation through the resulting noninvariant forms for the propagators. The relation of the stochastic approach with the Caldeira and Leggett path-integral method is also analyzed.

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