Chiral properties of domain wall quarks in quenched QCD.

CP-PACS Collaboration

Ali Khan 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 Masanori

Shanahan H. P.

Taniguchi Y

Ukawa A

Yoshié T

Physical Review D

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.

Physics [ 420 ]

eng

The American Physical Society

Copyright (c) 2001 The American Physical Society

[ISSN] 1550-7998

[DOI] 10.1103/PhysRevD.63.114504

[DOI] http://dx.doi.org/10.1103/PhysRevD.63.114504