Three topics of monopole dynamics in abelian projected QCD

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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.