Chiral property of domain-wall fermion from eigenvalues of 4D Wilson-Dirac Operator

PACS Collaboration; S. Aoki; Y. Aoki; R. Burkhalter; S. Ejiri; M. Fukugita; S. Hashimoto; N. Ishizuka; Y. Iwasaki; T. Izubuchi; K. Kanaya; T. Kaneko; Y. Kuramashi; V. Lesk; K. -I. Nagai; M. Okawa; Y. Taniguchi; A. Ukawa; T. YoshiÃ©

paper

Chiral property of domain-wall fermion from eigenvalues of 4D Wilson-Dirac Operator

arXiv:hep-lat/0110126

Abstract

We investigate a chiral property of the domain-wall fermion (DWF) system using the four-dimensional hermitian Wilson-Dirac operator $H_{W}$ . A formula expressing the Ward-Takahashi identity quark mass $m_{5 q}$ with eigenvalues of this operator is derived, which well explains the $N_{5}$ dependence of $m_{5 q}$ observed in previous numerical simulations. We further discuss the chiral property of DWF in the large volume in terms of the spectra of $H_{W}$ .

Lattice2001(chiral), 3 pages, 5 Postscript figures