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A quantum perfect lattice action in four dimensions can be derived analytically as a renormalized trajectory when we perform a block spin transformation of monopole currents in a simple but non-trivial case of quadratic monopole interactions. The spectrum of the lattice theory is identical to that of the continuum theory. The perfect monopole action is transformed exactly into a lattice action of...
Performing block-spin transformations on the dual lattice after abelian projection, we obtain an almost perfect lattice action in terms of monopole currents in the infrared region of pure SU(2) QCD. The action depends only on a physical scale b and is free from a cut-off a(β). It reproduces analytically the string tension which is near the physical one for a wide physical-scale region (b 1.0(κ...
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