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Axial anomaly with the overlap-Dirac operator in arbitrary dimensions

Takanori Fujiwara·Keiichi Nagao·Hiroshi Suzuki
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Abstract

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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Takanori Fujiwara, Keiichi Nagao, Hiroshi Suzuki. 2002-09-25. Axial anomaly with the overlap-Dirac operator in arbitrary dimensions. https://doi.org/10.1088/1126-6708%2F2002%2F09%2F025

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