Three topics of monopole dynamics in abelian projected QCD

Abstract Three topics about monopole dynamics after abelian projection are reported. The first is the new and detailed analyses of SU (2) monopole action obtained after the block-spin transformation on the dual lattice. The b = na (β) dependence for all couplings are well fitted with a universal curve. The distance dependence of the couplings is well reproduced by a massive propagator with the mass m = 0.8 in unit of b . The second is the SU (3) monopole action recently obtained. The third is new interesting gauges showing abelian and monopole dominances as in the maximally abelian gauge.