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18 April 2024

» arxiv » hep-lat/0007014

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Chiral properties of domain-wall quarks in quenched QCD
CP-PACS Collaboration ; A. Ali Khan ; S. Aoki ; Y. Aoki ; R. Burkhalter ; S. Ejiri ; M. Fukugita ; S. Hashimoto ; N. Ishizuka ; Y. Iwasaki ; T. Izubuchi ; K. Kanaya ; T. Kaneko ; Y. Kuramashi ; T. Manke ; K. I. Nagai ; J. Noaki ; M. Okawa ; H.P. Shanahan ; Y. Taniguchi ; A. Ukawa ; T. Yoshié ;
Date:	12 Jul 2000
Journal:	Phys.Rev. D63 (2001) 114504
Subject:	hep-lat
Abstract:	We investigate the chiral properties of quenched domain-wall QCD (DWQCD) at the lattice spacings $a^{-1} simeq 1$ 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 $m_f o 0$ and the length of the fifth dimension $N_s oinfty$, indicating that chiral symmetry is not realized with quenched DWQCD up to $a^{-1} simeq 2$ GeV. The behavior is much improved for the RG-improved gauge action: while a non-vanishing quark mass remains in the chiral limit at $a^{-1}simeq 1$ GeV, the result at $a^{-1}simeq 2$ 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.
Source:	arXiv, hep-lat/0007014
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