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Systematic errors of Lüscher's fermion method and its extensions

Artan Boriçi·Philippe de Forcrand
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Abstract

We study the systematic errors of Lüscher'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 $β$. 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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Artan Boriçi, Philippe de Forcrand. 1995-05-31. Systematic errors of Lüscher's fermion method and its extensions. https://doi.org/10.1016/0550-3213(95)00429-v

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