Abstract

S APQCD, the Abelian projection QCD (APQCD) action, is evaluated using the demon method. For SU(2), S APQCD at strong coupling is essentially the compact QED (CQED) action with β CQED = 1 2 β SU(2) : extended and higher representation plaquettes are absent. Since CQED deconfines when β CQED>∼ 1, this relation must break down as β SU(2) → 2. Indeed we find S APQCD mutates: near β SU(2) ∼ 2 it gains additional operators, including an exogenous negative magnetic monopole mass shift. S APQCD for SU(3) has similar behavior. The Appendix gives a brief explanation of the demon method.

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