Approximate Ginsparg-Wilson fermions: A first test
High Energy Physics - Lattice
2010-04-06 v2
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.
Cite
@article{arxiv.hep-lat/0007042,
title = {Approximate Ginsparg-Wilson fermions: A first test},
author = {Christof Gattringer and Ivan Hip and C. B. Lang},
journal= {arXiv preprint arXiv:hep-lat/0007042},
year = {2010}
}
Comments
30 pages, 6 figures, corrected version to appear in NPB