An exact algorithm for three-flavor QCD with $O(a)$-improved Wilson fermions

Details An exact algorithm for three-flavor QCD with $O(a)$-improved Wilson fermions An exact algorithm for three-flavor QCD with $O(a)$-improved Wilson fermions

2001-10-15

arxiv.org/abs/hep-lat/0110107v1

Nucl.Phys.Proc.Suppl. 106 (2002) 1079-1081

Physics

High Energy Physics

High Energy Physics - Lattice

Lattice 2001 (algorithm), 3 pages, LaTeX2e with espcrc2.sty

Scientific paper

We present an exact dynamical QCD simulation algorithm for the $O(a)$-improved Wilson fermion with odd number of flavors. Our algorithm is an extension of the non-Hermitian polynomials HMC algorithm proposed by Takaishi and de Forcrand previously. In our algorithm, the systematic errors caused by the polynomial approximation of the inverse of Dirac operator is removed by a noisy-Metropolis test. For one flavor quark it is achieved by taking the square root of the correction matrix explicitly. We test our algorithm for the case of $N_f=1+1$ on a moderately large lattice size ($16^3\times48$). The $N_f=2+1$ case is also investigated.

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