Chiral properties of domain-wall quarks in quenched QCD

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We investigate the chiral properties of quenched domain-wall QCD (DWQCD) at the lattice spacings a^-1≃1 and 2 GeV for both plaquette and renormalization-group (RG) improved gauge actions. In the case of the plaquette action we find that the quark mass defined through the axial Ward-Takahashi identity remains non-vanishing in the DWQCD chiral limit that the bare quark mass mf→0 and the length of the fifth dimension Ns→∞, indicating that chiral symmetry is not realized with quenched DWQCD up to a^-1≃2 GeV. The behavior is much improved for the RG-improved gauge action: while a nonvanishing quark mass remains in the chiral limit at a^-1≃1 GeV, the result at a^-1≃2 GeV is consistent with an exponentially vanishing quark mass in the DWQCD chiral limit, indicating the realization of exact chiral symmetry. An interpretation and implications are briefly discussed.

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  • Physical review D

    Physical review D 63 (11), 114504-, 2001-05

    American Physical Society

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