Gribov Copies in Lattice QCD

TL;DR

This paper investigates the distribution of Gribov copies in lattice QCD across different temperatures, revealing their density decreases with increasing temperature, which has implications for gauge fixing and confinement studies.

Contribution

It provides an exhaustive analysis of Gribov copies' density dependence on temperature and lattice size in lattice QCD simulations.

Findings

Gribov copies are dense at low temperatures

Density of Gribov copies decreases as temperature increases

Study covers lattice sizes from 16^3×8 to 16^4

Abstract

We have performed an exhaustive search for Gribov copies on the lattice and their possible dependence from finite temperature effects. We show that, for each value of lattice size, Gribov copies are dense in configuration space at low temperature but their density tend to lower when the temperature increases. We have investigated lattice sizes running from $16^3\times 8$ to $16^4$.