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arXiv · hep-lat/0007042

Approximate Ginsparg-Wilson fermions: A first test

Christof Gattringer·Ivan Hip·C. B. Lang
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Abstract

We construct a 4-d lattice Dirac operator D using a systematical expansion in terms of simple operators on the lattice. The Ginsparg-Wilson equation turns into a system of coupled equations for the expansion coefficients of D. We solve these equations for a finite parametrization of D and find an approximate solution of the Ginsparg-Wilson equation. We analyze the spectral properties of our D for various ensembles of quenched SU(3) configurations. Improving the gauge field action considerably improves the spectral properties of our D.

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Christof Gattringer, Ivan Hip, C. B. Lang. 2000-11-30. Approximate Ginsparg-Wilson fermions: A first test. https://doi.org/10.1016/s0550-3213(00)00717-3

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