One-Flavour Hybrid Monte Carlo with Wilson Fermions

Details One-Flavour Hybrid Monte Carlo with Wilson Fermions One-Flavour Hybrid Monte Carlo with Wilson Fermions

2000-07-20

arxiv.org/abs/hep-lat/0007029v1

Lect.Notes Comput.Sci.15:166-177,2000

Physics

High Energy Physics

High Energy Physics - Lattice

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

Scientific paper

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.

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