We discuss the salient features of Zolotarev optimal rational approximation for the inverse square root function, in particular, for its applications in lattice QCD with overlap Dirac quark. Theâ€¦ (More)

The fermion determinant and the chiral anomaly of lattice Dirac operator D on a finite lattice are investigated. The condition for D to reproduce correct chiral anomaly at each site of a finiteâ€¦ (More)

I show that the conventional formulations of lattice domain-wall fermion with any finite Ns (in the fifth dimension) do not preserve the chiral symmetry optimally and propose a new action whichâ€¦ (More)

It is shown that the effective 4D lattice Dirac operator of optimal lattice domain-wall fermions with finite Ns (in the fifth dimension) is exponentially local for sufficiently smooth gaugeâ€¦ (More)

The square root of the positive definite hermitian operator Dâ€ wDw in Neubergerâ€™s proposal of exactly massless quarks on the lattice is implemented by the recursion formula Yk+1 = 1 2 (Yk +D â€ wDwYâ€¦ (More)

We determine several quantities in quenched lattice QCD with exact chiral symmetry. For 100 gauge configurations generated with Wilson gauge action at Î² = 6.0 on the 163 Ã— 32 lattice, we computeâ€¦ (More)

The axial anomaly of Ginsparg-Wilson fermion operator D is discussed in general for the operator R which enters the chiral symmetry breaking part in the Ginsparg-Wilson relation. The axial anomalyâ€¦ (More)

A shift-register sequence random number generator is programmed in Intel 8088/8086 and 8087 assembly language. Its performance is good in terms of its speed, long period and consistently producingâ€¦ (More)

By examining the analyticity of a sequence of topologically-proper lattice Dirac operators, we show that they tend to a nonlocal Dirac operator. This implies that a nonlocal lattice Dirac operatorâ€¦ (More)

Physical review. E, Statistical, nonlinear, andâ€¦

2003

We analyze Neuberger's double-pass algorithm for the matrix-vector multiplication R(H) x Y [where R(H) is (n-1,n)th degree rational polynomial of positive definite operator H], and show that theâ€¦ (More)