Gribov Copy Effects in the Maximal Abelian Gauge

We study Gribov copy effects of 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 non-Abelian string tension after Abelian projection. At the same time, using a much less efficient relaxation algorithm, one finds Gribov copies with improved Abelian dominance for the string tension.