Systematic errors of Lüscher's fermion method and its extensions

Details Systematic errors of Lüscher's fermion method and its extensions Systematic errors of Lüscher's fermion method and its extensions

1995-05-26

arxiv.org/abs/hep-lat/9505021v2

Nucl.Phys. B454 (1995) 645-662

Physics

High Energy Physics

High Energy Physics - Lattice

10 pages LaTeX, Comprehensive revision; figures added

Scientific paper

10.1016/0550-3213(95)00429-V

We study the systematic errors of L\"uscher's formulation of dynamical Wilson quarks and some of its variants, in the weak and strong coupling limits, and on a sample of small configurations at finite $\beta$. We confirm the existence of an optimal window in the cutoff parameter $\varepsilon$, and the exponential decrease of the error with the number of boson families. A non-hermitian variant improves the approximation further and allows for an odd number of flavors. A simple and economical Metropolis test is proposed, which makes the algorithm exact.

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