Universality of the Axial Anomaly in Lattice QCD

Details Universality of the Axial Anomaly in Lattice QCD Universality of the Axial Anomaly in Lattice QCD

2000-04-05

arxiv.org/abs/hep-lat/0004005v1

Phys.Rev. D63 (2001) 054506

Physics

High Energy Physics

High Energy Physics - Lattice

9 pages

Scientific paper

10.1103/PhysRevD.63.054506

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.

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