Papers › Axial anomaly with the overlap-Dirac operator in arbitrary dimensions
Axial anomaly with the overlap-Dirac operator in arbitrary dimensions
Takanori Fujiwara, Keiichi Nagao, Hiroshi Suzuki
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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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