name

Kei-ichi Nagai

refid

15850

email

nagai@rccp.tsukuba.ac.jp

title

Eigenvalues of the hermitian Wilson-Dirac operator and chiral properties of the domain-wall fermion

collaboration

CP-PACS collaboration:
A.~Ali Khan, S.~Aoki, Y.~Aoki, R.~Burkhalter, S.~Ejiri,
M.~Fukugita, S.~Hashimoto, N.~Ishizuka, Y.~Iwasaki,
T.~Izubuchi, K.~Kanaya, T.~Kaneko, Y.~Kuramashi, T.~Manke,
K.~-i.~Nagai(*), J.~Noaki, M.~Okawa, H.P.~Shanahan, Y.~Taniguchi,
A.~Ukawa, T.~Yoshi\'e

(*)speaker

abstract

We investigate the eigenvalue distribution of the hermitian Wilson-Dirac
operator on quenched gauge confgurations for the standard plaquette
action and a renormalization group improved action at several lattice
spacings in the range $1/a\simeq 1-2$GeV. We find that for the domain-wall
height $M$ employed in previous simulations the spectral density at zero
in the plaquette gauge action is always non-zero and behaves as
$e^{-c/\sqrt{a}}$, confirming the result by R.~Edwards {\it et al}.
A similar scaling behavior is found for the RG-improved action, but its
magnitude is reduced by roughly an order of magnitude.
We discuss implications and relations of these results with the chiral
properties of domain-wall QCD explored with axial vector Ward identities.

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