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

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 $m_{5q}$ 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 $H_W$.

arXiv commentLattice2001(chiral), 3 pages, 5 Postscript figures

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Cited by in corpus (4)

• Domain Wall QCD with Near-Physical Pions
• Localization and chiral symmetry in 2+1 flavor domain wall QCD
• Localization properties of lattice fermions with plaquette and improved gauge actions
• Reducing Residual-Mass Effects for Domain-Wall Fermions