Monopole action and condensation in SU(2) QCD

An effective monopole action for various extended monopoles is derived from vacuum configurations after abelian projection in the maximally abelian gauge in SU(2) QCD. The action is independent of the lattice volume chosen. Moreover, it depends only on the physical lattice spacing of the renormalized lattice, not on β. Entropy dominance over the energy of monopole loops is seen on the renormalized lattice with the spacing b > bc ⋍ 5.2 × 10−3ΛL−1. This suggests that monopole condensation always (for all β) occurs in the infinite-volume limit of lattice QCD