Comparison of the gradient flow with cooling in $SU(3)$ pure gauge 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.

Revised version, new data and a discussion of the continuum limit added. 11 pages, 11 eps figures

References in corpus (3)

• Perturbative analysis of the gradient flow in non-abelian gauge theories
• Studying the gradient flow coupling in the Schrödinger functional
• Theta dependence of the vacuum energy in the SU(3) gauge theory from the lattice

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