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Chiral Extension of Lattice Gauge Theory
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Chiral Extension of Lattice Gauge Theory
abstract
Two approaches are presented to coupling explicit Goldstone modes to $N_f$ flavors of massless quarks preserving exact $SU(N_f) \times SU(N_f)$ 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, $g_A = 0$.
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