Topology and the axial anomaly in abelian lattice gauge theories

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.

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

References in corpus (6)

• Exact chiral symmetry on the lattice and the Ginsparg-Wilson relation
• More about exactly massless quarks on the lattice
• The index theorem in QCD with a finite cut-off
• Locality properties of Neuberger's lattice Dirac operator
• Lattice QCD without tuning, mixing and current renormalization
• Witten's SU(2) anomaly on the lattice

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