Magnetic monopole clusters, and monopole dominance after smoothing in the maximally Abelian gauge of SU(2)

In the maximally Abelian gauge of SU(2), the clusters of monopole current are found to divide into two distinct classes. The largest cluster permeates the lattice, has a density that scales and produces the string tension. The remaining clusters possess an approximate 1/l^3 number density distributi...