Universality of the Axial Anomaly in Lattice QCD

Abstract

We prove that lattice QCD generates the axial anomaly in the continuum limit under very general conditions on the lattice action, which includes the case of Ginsparg-Wilson fermions. The ingredients going into the proof are gauge invariance, locality of the Dirac operator, absence of fermion doubling, the general form of the lattice Ward identity, and the power counting theorem of Reisz. The results generalize in an obvious way to SU(N) lattice gauge theories.

9 pages

References in corpus (2)

• Locality properties of Neuberger's lattice Dirac operator
• The axial anomaly in lattice QED. A universal point of view

Cited by in corpus (10)

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• Optimised Dirac Operators on the Lattice: Construction, Properties and Applications
• Canonical Approach to Ginsparg-Wilson Fermion
• Axial anomaly in the reduced model: Higher representations
• Wess-Zumino-Witten term on the lattice
• Axial anomaly in the reduced model: Higher representations