Stochastic quantization with discrete fictitious time

Abstract

We present a new approach to stochastic quantization à la Parisi-Wu with a discrete fictitious time. The noise average is modified by weights, which results in the equivalence in the large time limit to the correlation function of the corresponding quantum field theory {\it without taking any continuum limit of fictitious time}. We test our method in a zero-dimensional toy model both perturbatively and numerically.

Comments: 27 pages, 4 figures; v2: report number corrected