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Topology and the axial anomaly in abelian lattice gauge theories

Martin Lüscher
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Abstract

The axial anomaly in abelian lattice gauge theories is shown to be equal to a simple quadratic expression in the gauge field tensor plus a removable divergence term if the lattice Dirac operator satisfies the Ginsparg-Wilson relation. The theorem is a consequence of the locality, the gauge invariance and the topological nature of the anomaly and does not refer to any other properties of the lattice theory.

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Martin Lüscher. 1998-09-09. Topology and the axial anomaly in abelian lattice gauge theories. https://doi.org/10.1016/s0550-3213(98)00680-4

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