One-Flavour Hybrid Monte Carlo with Wilson Fermions

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.

Comments: 11 pages, to appear in proceedings of the workshop "Numerical Challenges in Lattice QCD", Springer Verlag