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

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 $H_W$.

preprint2001arXivOpen access
PACS CollaborationS. AokiY. AokiR. BurkhalterS. EjiriM. FukugitaS. HashimotoN. IshizukaY. IwasakiT. IzubuchiK. KanayaT. KanekoY. KuramashiV. LeskK. -I. NagaiM. OkawaY. TaniguchiA. UkawaT. Yoshié
hep-lat
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Open access19 authors1 topic
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PACS CollaborationS. AokiY. AokiR. BurkhalterS. EjiriM. FukugitaS. HashimotoN. IshizukaY. IwasakiT. IzubuchiK. KanayaT. KanekoY. KuramashiV. LeskK. -I. NagaiM. OkawaY. TaniguchiA. UkawaT. Yoshié

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