Axial anomaly with the overlap-Dirac operator in arbitrary dimensions

Details Axial anomaly with the overlap-Dirac operator in arbitrary dimensions Axial anomaly with the overlap-Dirac operator in arbitrary dimensions

2002-08-27

arxiv.org/abs/hep-lat/0208057v2

JHEP 0209 (2002) 025

Physics

High Energy Physics

High Energy Physics - Lattice

9 pages, uses JHEP.cls and amsfonts.sty, the final version to appear in JHEP

Scientific paper

10.1088/1126-6708/2002/09/025

We evaluate for arbitrary even dimensions the classical continuum limit of the lattice axial anomaly defined by the overlap-Dirac operator. Our calculational scheme is simple and systematic. In particular, a powerful topological argument is utilized to determine the value of a lattice integral involved in the calculation. When the Dirac operator is free of species doubling, the classical continuum limit of the axial anomaly in various dimensions is combined into a form of the Chern character, as expected.

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