P-vortices, gauge copies and lattice size

We study the dependence of the center-projected string tension on both the lattice size, and the number of gauge copies used for maximal center gauge fixing. We show that a recent finding of Bornyakov, Komarov, Polikarpov, an d Veselov (hep-lat/0002017), indicating a substantial breakdown of center d ominance in maximal center gauge, is only obtained for rather small lattice volumes, and is not found in numerical simulations on larger lattices. It is shown that center-projected Creutz ratios approach the full asymptotic s tring tension as lattice size increases, and that the P-vortex density is c onsistent, at moderately weak couplings, with 2-loop scaling behavior.