Stochastic quantization using a kerneled Langevin equation

A. I. Kirillov<sup>ab

a</sup> Paris-Sud University 11
^b Moscow Power Engineering Institute (Technical University)

Abstract: It is shown that a kerneled Langevin equation for the Euclidean model of the sine-Gordon-type field has solutions whose probability distributions converge to a measure. The action functional is not regularized and the space-time dimension is arbitrary.

Received: 28.11.1997

DOI: 10.4213/tmf856

 English version: Theoretical and Mathematical Physics, 1998, 115:1, 410–417

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