Monopole action and condensation in SU(2) QCD

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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15 Pages+7 figures, KANAZAWA 94-12

Scientific paper

10.1016/0370-2693(95)00422-H

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 $b>b_c\simeq 5.2\times10^{-3} \Lambda_L^{-1}$. This suggests that monopole condensation always (for all $\beta$) occurs in the infinite-volume limit of lattice QCD.

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