Some remarks on the Ginsparg-Wilson fermion
Journal
Nuclear Physics B
Journal Volume
588
Journal Issue
1-2
Pages
400-416
Date Issued
2000
Author(s)
Abstract
We note that Fujikawa's proposal of generalization of the Ginsparg-Wilson relation is equivalent to setting R=(aγ5D)2k in the original Ginsparg-Wilson relation Dγ5+γ5D=2aDRγ5D . An explicit realization of D follows from the Overlap construction. The general properties of D are derived. The chiral properties of these higher-order ( k>0 ) realizations of Overlap Dirac operator are compared to those of the Neuberger-Dirac operator ( k=0 ), in terms of the fermion propagator, the axial anomaly and the fermion determinant in a background gauge field. Our present results (up to lattice size 16×16 ) indicate that the chiral properties of the Neuberger-Dirac operator are better than those of higher-order ones. © 2000 Elsevier Science B.V.
Type
journal article