Towards an Abelian Formulation of Lattice QCD Confinement

Abstract

We probe for operators occurring in the APQCD(``abelian-projected QCD'') action by evaluating abelian-projected $1$-plaquette spectral densities in pure gauge $SU(3)$ fixed to maximal abelian gauge. Couplings $B_{APQCD}(q,L)$ are extracted from the spectral densities for each representation $q$, $L\times L$ plaquette. While APQCD is dominated by a $q=L=1$ resonance, we also find evidence for weakly coupled $L=2$ plaquettes. Moreover, since $B_{APQCD}(1,1)>B_{QED}(1,1)$ even if ${\beta }_{QED}>{\beta }_c$, $L>1$ plaquettes must be significant since APQCD is confining.

1+11 pages, fixed minor postscript error

References in corpus (2)

• Structure of Abrikosov Vortices in SU(2) Lattice Gauge Theory
• Properties of the Abelian Projection Fields in $SU(N)$ Lattice Gluodynamics

Cited by in corpus (4)

• Chiral Symmetry Breaking in Abelian-Projected SU(2) Lattice Gauge Theory
• Abelian Dominance of Chiral Symmetry Breaking in Lattice QCD
• Temperature Dependence of Extended and Fractional SU(3) Monopole Currents
• Abelian Dominance in Chiral Symmetry Breaking