Stochastic quantization with discrete fictitious time
High Energy Physics - Theory
2026-02-25 v2 High Energy Physics - Lattice
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 {\it without taking any continuum limit of fictitious time}. We test our method in a zero-dimensional toy model both perturbatively and numerically.
Keywords
Cite
@article{arxiv.2501.14260,
title = {Stochastic quantization with discrete fictitious time},
author = {Daisuke Kadoh and Mitsuhiro Kato and Makoto Sakamoto and Hiroto So},
journal= {arXiv preprint arXiv:2501.14260},
year = {2026}
}
Comments
27 pages, 4 figures; v2: report number corrected