name

Keh-Fei Liu

refid

1400

email

liu@pa.uky.edu

title

Study of Overlap Fermions

collaboration

S.J. Dong, F.X. Lee, and J.B. Zhang

abstract

The chiral symmetry relation and scaling of the overlap fermions are
studied numerically on the quenched lattices at 3 couplings with about
the same physical volume. We find that the generalized Gell-Mann-Oakes-Renner
relation is satisfied to better than 1\% down to the smallest quark mass
at $m_0a = 0.006$. We also obtain the quark mass from the PCAC relation and
the pseudoscalar masses. The renormalization group
invariant quark mass is shown to be fairly independent of scale.
The $\pi$ and $\rho$ masses at a fixed
$m_{\pi}/m_{\rho}$ ratio indicate small $O(a^2)$ corrections. It is
found that the critical slowing down sets in abruptly at a very small quark
mass close to those of the physical $u$ and $d$ quarks. These results are
reported in hep-lat/0006004.

Preliminary results of hadron masses, decay constants, and the quark masses on
a large physical volume (20^4 with a = 0.18 fm) will also be presented.

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