Monopole action and condensation in SU(2) QCD

Abstract

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 appears to be independent of the lattice volume. Moreover it seems to depend only on the physical lattice spacing of the renormalized lattice, not on $\beta$. Entropy dominance over energy of monopole loops is seen on the renormalized lattice with the spacing $b>b_c\simeq 5.2\times 10^{-3}{\Lambda }_L^{-1}$. This suggests that monopole condensation always (for all $\beta$) occurs in the infinite-volume limit of lattice QCD.

Comments: 15 Pages+7 figures, KANAZAWA 94-12