## Gribov copies in the maximally Abelian gauge and confinement

We fix SU(2) lattice gauge fields to the maximally Abelian gauge in both three and four dimensions. We extract the corresponding U(1) fields and monopole current densities and calculate separately the confining string tensions arising from these U(1) fields and monopole {open_quotes}condensates.{close_quotes} We generate multiple Gribov copies and study how the U(1) fields and monopole distributions vary between these different copies. As expected, we find substantial variations in the number of monopoles, their locations, and in the values of the U(1) field strengths. The string tensions extracted from {open_quotes}extreme{close_quotes} Gribov copies also differ but this difference appears to be nomore »