Gribov copy effects in the maximal Abelian gauge

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.