Memoirs of the Faculty of Science, Shimane University

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Memoirs of the Faculty of Science, Shimane University 22
1988-12-25 発行

ガウス型白色雑音によるミンコフスキー時空での確立過程量子化

Minkowski Stochastic Quantization with Gaussian White Noises
Sakamoto, Jiro
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Description
 We have proposed stochastic quantization procedure in Minkowski space-time in previous papers. That formulation , however, was done with non-Gaussian white noises. In this article we show that the equivalent formulation is possible with Gaussian white noises. This will be useful for the application to numerical analysis though manifest covariance of the theory under Lorentz transformation is lost. The covariance is restored at the Green function level.