Hybrid Monte Carlo Without Pseudofermions

Details Hybrid Monte Carlo Without Pseudofermions Hybrid Monte Carlo Without Pseudofermions

1996-10-15

arxiv.org/abs/hep-lat/9610020v1

Nucl.Phys.Proc.Suppl. 53 (1997) 980-982

Physics

High Energy Physics

High Energy Physics - Lattice

4 pages, Latex, 3 ps figures. Talk presente at Lattice '96

Scientific paper

10.1016/S0920-5632(96)00833-X

We introduce a dynamical fermion algorithm which is based on the hybrid Monte Carlo (HMC) algorithm, but without pseudofermions. The molecular dynamics steps in HMC are retained except the derivatives with respect to the gauge fields are calculated with the $Z_2$ noise. The determinant ratios are estimated with the Pa\`{d}e - $Z_2$ method. Finally, we use the Kennedy-Kuti linear accept/reject method for the Monte Carlo step which is shown to respect detailed balance. We comment on the comparison of this algorithm with the pseudofermion algorithm.

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