Abelian Action for Quark Confinement: A Direct Evaluation
Abstract
We evaluate SAPQCD, the Abelian projection QCD(APQCD) action nonperturbatively on the lattice. For SU(2), we find SAPQCD at strong coupling is essentially the compact QED(CQED) action. At weaker coupling, we find SAPQCD mutates: it gains additional operators, including an exogenous NEGATIVE magnetic monopole mass shift. As a corollary, since monopoles are condensed in CQED our results prove (vicariously) that SU(2) monopoles are condensed. SAPQCD for SU(3) has similar behavior.
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