Link smearing considered as MCRG transformation

TL;DR

This paper investigates gauge link smearing in lattice QCD, analyzing its effectiveness using Monte Carlo Renormalization Group tools to improve understanding of UV fluctuation removal while preserving IR properties.

Contribution

It introduces a framework to quantify gauge link smearing methods through MCRG techniques, offering a new perspective on their effectiveness in lattice QCD.

Findings

Smearing reduces UV fluctuations effectively.

MCRG tools can quantify smearing impact.

Enhanced understanding of IR property preservation.

Abstract

Gauge link smearing is widely used in lattice QCD computations. The idea is to remove the local (UV) fluctuations of the gauge field configurations while keeping the longer-range (IR) properties intact. Important applications are in the definitions of interpolating hadron operators as well as in updating the gauge field configurations with dynamical quarks in the so-called Hybrid Monte Carlo (HMC) algorithm. Here we study the effectiveness of various smearing methods and try to quantify these with tools known from Monte Carlo Renormalization Group (MCRG).