Lattice QED and Universality of the Axial Anomaly

Details Lattice QED and Universality of the Axial Anomaly Lattice QED and Universality of the Axial Anomaly

1999-08-16

arxiv.org/abs/hep-lat/9908014v1

Nucl.Phys.Proc.Suppl. 83 (2000) 965-967

Physics

High Energy Physics

High Energy Physics - Lattice

LATTICE99(theoretical developments) 3 pages

Scientific paper

We give a perturbative proof that U(1) lattice gauge theories generate the axial anomaly in the continuum limit under very general conditions on the lattice Dirac operator. These conditions are locality, gauge covariance and the absense of species doubling. They hold for Wilson fermions as well as for realizations of the Dirac operator that satisfy the Ginsparg-Wilson relation. The proof is based on the lattice power counting theorem. The results generalize to non-abelian gauge theories.

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