Hybrid Monte Carlo Without Pseudofermions
High Energy Physics - Lattice
2009-10-28 v1
Abstract
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 noise. The determinant ratios are estimated with the Pa\`{d}e - 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.
Cite
@article{arxiv.hep-lat/9610020,
title = {Hybrid Monte Carlo Without Pseudofermions},
author = {K. F. Liu and S. J. Dong and C. Thron},
journal= {arXiv preprint arXiv:hep-lat/9610020},
year = {2009}
}
Comments
4 pages, Latex, 3 ps figures. Talk presente at Lattice '96