Topological aspect of Abelian projected SU(2) lattice gauge theory

We show that the hypothesis of Abelian dominance allows QCD monopoles to preserve the topological feature of the QCD vacuum within SU(2) lattice gauge theory. An analytical study is made to find the relationship between the topological charge and QCD monopoles in the lattice formulation. The topological charge is explicitly represented in terms of the monopole current and the Abelian component of gauge fields in the Abelian dominated system. We numerically examine the relation and demonstrate the Abelian dominance in the topological structure by using Monte Carlo simulation.