Abelian and monopole dominance in SU(3) gluodynamics and Gribov copy effects

Abstract

We continue our study of the Gribov copies effrcts in the Maximal Abelian gauge in lattice $SU(3)$ gluodynamics. Our computations were completed for four values of the lattice spacing with physical lattice size $L \approx 2$ fm. It is demonstrated that when one uses the effective simulated annealing algorithm to fix the gauge the obtained Gribov copies produce low abelian string tension which is below 90% of the physical value independent of the lattice spacing. These Gribov copies produce also low value (about 86%) for the monopole string tension. It is further shown that in case of less effective relaxation algorithm it is possible to obtain Gribov copies which produce both Abelian and monopole string tension in good agreement with the physical one.