The axial anomaly in lattice QED. A universal point of view
arXiv:hep-lat/9903003 · doi:10.1016/S0370-2693(99)00491-8
Abstract
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.
7 pages, Latex2e, some misprints removed, reference inserted
References in corpus (1)
Cited by in corpus (16)
- Axial anomaly and topological charge in lattice gauge theory with Overlap Dirac operator
- Non-commutative Differential Calculus and the Axial Anomaly in Abelian Lattice Gauge Theories
- Transient anomalous charge production in strong-field QCD
- Axial anomaly with the overlap-Dirac operator in arbitrary dimensions
- The index of the overlap Dirac operator on a discretized 2d non-commutative torus
- Progress using generalized lattice Dirac operators to parametrize the Fixed-Point QCD action
- More about the axial anomaly on the lattice
- Universality of the Axial Anomaly in Lattice QCD
- Chiral gauge theories on the lattice with exact gauge invariance
- Axial Anomaly and Index of the Overlap Hypercube Operator
- 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
- Chiral symmetry restoration and axial vector renormalization for Wilson fermions
- Axial anomaly in the reduced model: Higher representations