Chiral Extension of Lattice Gauge Theory
Abstract
Two approaches are presented to coupling explicit Goldstone modes to Nf flavors of massless quarks preserving exact SU(Nf) × SU(Nf) chiral symmetry on the lattice. The first approach is a generalization a chiral extension to QCD (aka XQCD) proposed by Brower, Shen and Tan consistent with the Ginsparg-Wilson relation. The second approach based on the Callan,Coleman, Wess and Zumino coset construction has a real determinant atzero quark axial coupling, gA = 0.
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