One-Flavour Hybrid Monte Carlo with Wilson Fermions
High Energy Physics - Lattice
2011-04-15 v1
Abstract
The Wilson fermion determinant can be written as product of the determinants of two hermitian positive definite matrices. This formulation allows to simulate non-degenerate quark flavors by means of the hybrid Monte Carlo algorithm. A major numerical difficulty is the occurrence of nested inversions. We construct a Uzawa iteration scheme which treats the nested system within one iterative process.
Cite
@article{arxiv.hep-lat/0007029,
title = {One-Flavour Hybrid Monte Carlo with Wilson Fermions},
author = {Thomas Lippert},
journal= {arXiv preprint arXiv:hep-lat/0007029},
year = {2011}
}
Comments
11 pages, to appear in proceedings of the workshop "Numerical Challenges in Lattice QCD", Springer Verlag