Topology and the axial anomaly in abelian lattice gauge theories

Details Topology and the axial anomaly in abelian lattice gauge theories Topology and the axial anomaly in abelian lattice gauge theories

1998-08-19

arxiv.org/abs/hep-lat/9808021v2

Nucl.Phys. B538 (1999) 515-529

Physics

High Energy Physics

High Energy Physics - Lattice

plain tex source, 18 pages, needs amssym.def, added references and two paragraphs in sections 5 and 7

Scientific paper

10.1016/S0550-3213(98)00680-4

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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