arXiv:hep-lat/0007042·v2·High Energy Physics — Lattice
Approximate Ginsparg-Wilson fermions: A first test
Christof Gattringer🇺🇸 · Ivan Hip🇩🇪 · C. B. Lang🇦🇹
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.
Comments: 30 pages, 6 figures, corrected version to appear in NPB