Monopole actions in compact QED and in (a → 0, L → ∞) SU(2) QCD

Abstract

Performing a dual transformation numerically, we obtain an effective monopole action from vacuum configurations in compact QED both in the Villain and in the Wilson forms. 1)The DeGrand-Toussaint monopole definition may be useful for β v larger than about 0.5. 2)The Villain model well approximates the Wilson one for β smaller than β c . We also apply the method to SU (2) QCD after abelian projection in the maximally abelian gauge. Extended monopoles are considered also, which corresponds to a block spin transformation on the dual lattice. The action obtained might be regarded as the renormalized trajectory on which one can take the continuum limit.