Some remarks on the Ginsparg-Wilson fermion
نویسنده
چکیده
We note that Fujikawa’s proposal of generalization of the GinspargWilson 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 results indicate that the chiral properties of the NeubergerDirac operator are better than those of higher-order ones. PACS numbers: 11.15.Ha, 11.30.Rd, 11.30.Fs
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