Stochastic quantization with discrete fictitious time

Abstract

We present a new approach to stochastic quantization \`a 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 without taking any continuum limit of fictitious time. We test our method in a zero-dimensional toy model both perturbatively and numerically.

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