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

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

2001-10-16

arxiv.org/abs/hep-lat/0110126v1

Nucl.Phys.Proc.Suppl. 106 (2002) 718-720

Physics

High Energy Physics

High Energy Physics - Lattice

Lattice2001(chiral), 3 pages, 5 Postscript figures

Scientific paper

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 $m_{5q}$ with eigenvalues of this operator is derived, which well explains the $N_5$ dependence of $m_{5q}$ observed in previous numerical simulations. We further discuss the chiral property of DWF in the large volume in terms of the spectra of $H_W$.

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