## Gauge fixing and extended Abelian monopoles in SU(2) gauge theory in 2+1 dimensions

Extended Abelian monopoles are investigated in SU(2) lattice gauge theory in three dimensions. Monopoles are computed by Abelian projection in several gauges, including the maximal Abelian gauge. The number [ital N][sub [ital m]] of extended monopoles in a cube of size [ital m][sup 3] (in lattice units) is defined as the number of elementary (1[sup 3]) monopoles minus antimonopoles in the cube ([ital m]=1,2, . . .). The distribution of 1[sup 3] monopoles in the nonlocal maximal Abelian gauge is shown to be essentially random, while nonscaling of the density of 1[sup 3] monopoles in some local gauges, which hasmore »