English

Cooling Stochastic Quantization with colored noise

High Energy Physics - Lattice 2019-03-14 v2 High Energy Physics - Phenomenology High Energy Physics - Theory

Abstract

Smoothing of field configurations is highly important for precision calculations of physical quantities on the lattice. We present a cooling method based on Stochastic Quantization with a built-in UV momentum cutoff. The latter is implemented via a UV-regularized, hence colored, noise term. Our method is tested in a two-dimensional scalar field theory. We show, that UV modes can be removed systematically without altering the physics content of the theory. The approach has an interpretation in terms of the non-perturbative (Wilsonian) renormalization group that facilitates the physics interpretation of the cutoff procedure. It also can be used to define the maximal colored cooling applicable without changing the theory.

Cite

@article{arxiv.1705.06231,
  title  = {Cooling Stochastic Quantization with colored noise},
  author = {Jan M. Pawlowski and Ion-Olimpiu Stamatescu and Felix P. G. Ziegler},
  journal= {arXiv preprint arXiv:1705.06231},
  year   = {2019}
}

Comments

21 pages, 25 figures, 1 table, revised version with minor changes

R2 v1 2026-06-22T19:50:09.578Z