The axial anomaly of Ginsparg-Wilson fermion

Details The axial anomaly of Ginsparg-Wilson fermion The axial anomaly of Ginsparg-Wilson fermion

1998-09-03

arxiv.org/abs/hep-lat/9809013v5

Phys.Lett.B445:371-377,1999

Physics

High Energy Physics

High Energy Physics - Lattice

12 pages, latex, references updated, the version to appear in Phys. Lett. B

Scientific paper

10.1016/S0370-2693(98)01511-1

The axial anomaly of Ginsparg-Wilson fermion operator $D$ is discussed in general for the operator $R$ which enters the chiral symmetry breaking part in the Ginsparg-Wilson relation. The axial anomaly and the index of $D$ as well as the exact realization of the Atiyah-Singer index theorem on the lattice are determined solely by the topological characteristics of the chirally symmetric operator $D_c$ in the chiral limit $ R \to 0 $.

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