Approximate Ginsparg-Wilson fermions: A first test

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.

30 pages, 6 figures, corrected version to appear in NPB

References in corpus (2)

• Chiral fermions on the lattice
• New approximate solutions of the Ginsparg-Wilson equation - tests in 2-d

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