Comparison of the gradient flow with cooling in $SU(3)$ pure gauge theory
High Energy Physics - Lattice
2014-05-14 v2 High Energy Physics - Theory
Abstract
The gradient (Wilson) flow has been introduced recently in order to provide a solid theoretical framework for the smoothing of ultraviolet noise in lattice gauge configurations. It is interesting to ask how it compares with other, more heuristic and numerically cheaper smoothing techniques, such as standard cooling. In this study we perform such a comparison, focusing on observables related to topology. We show that, already for moderately small lattice spacings, standard cooling and the gradient flow lead to equivalent results, both for average quantities and configuration by configuration.
Keywords
Cite
@article{arxiv.1401.2441,
title = {Comparison of the gradient flow with cooling in $SU(3)$ pure gauge theory},
author = {Claudio Bonati and Massimo D'Elia},
journal= {arXiv preprint arXiv:1401.2441},
year = {2014}
}
Comments
Revised version, new data and a discussion of the continuum limit added. 11 pages, 11 eps figures