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. Yoshié

arXiv · hep-lat/0110126

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. Yoshié

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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 $H_W$.

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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. Yoshié. 2001-10-16. Chiral property of domain-wall fermion from eigenvalues of 4D Wilson-Dirac Operator. https://arxiv.org/abs/hep-lat/0110126

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