Gribov copy effects in the maximal Abelian gauge

TL;DR

This paper investigates the impact of Gribov copies in the Maximal Abelian gauge within SU(3) lattice gluodynamics, revealing how different gauge fixing algorithms influence the observed string tension and Abelian dominance.

Contribution

It compares the effects of different gauge fixing algorithms on Gribov copies and their impact on Abelian dominance and string tension in SU(3) lattice gluodynamics.

Findings

Effective algorithms find Gribov copies with about 90% of the nonabelian string tension.

Less effective algorithms find Gribov copies exhibiting Abelian dominance.

Different algorithms significantly affect the measurement of string tension and Abelian dominance.

Abstract

We study effects of Gribov copies in the Maximal Abelian gauge in $SU(3)$ lattice gluodynamics. We confirm earlier results that with effective gauge fixing algorithm one finds Gribov copies of the maximal Abelian gauge which produce about 90\% of the nonabelian string tension after Abelian projection. At the same time using much less effective relaxation algorithm one finds Gribov copies with nice Abelian dominance for the string tension.