Khan, A A , Aoki, S , Aoki, Y , Burkhalter, R , Ejiri, S , Fukugita, M , Hashimoto, S , Ishizuka, N , Iwasaki, Y , Izubuchi, T , Kanaya, K , Kaneko, T , Kuramashi, Y , Manke, T , Nagai, K I , Noaki, J , Okawa, M , Shanahan, H P , Taniguchi, Y , Ukawa, A , Yoshie, T and , CP-PACS Collaboration (2001) Chiral properties of domain-wall quarks in quenched QCD. Physical Review D , 6311 (11).
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We investigate the chiral properties of quenched domain-wall QCD (DWQCD) at the lattice spacings a(-1) similar or equal to 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)-->0 and the length of the fifth dimension N-s--> infinity, indicating that chiral symmetry is not realized with quenched DWQCD up to a(-1) similar or equal to 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) similar or equal to 1 GeV, the result at a(-1) similar or equal to 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.
This is a Submitted version This version's date is: 1/6/2001 This item is not peer reviewed
https://repository.royalholloway.ac.uk/items/073c3e2d-7d94-e4e8-9c66-4164e7021a88/5/
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