Anomaly cancellation condition in lattice gauge theory

@article{Suzuki2000AnomalyCC,
  title={Anomaly cancellation condition in lattice gauge theory},
  author={Hiroshi Suzuki},
  journal={Nuclear Physics},
  year={2000},
  volume={585},
  pages={471-513}
}
A simple construction of fermion measure term in U(1) chiral lattice gauge theories with exact gauge invariance
In the gauge invariant formulation of U(1) chiral lattice gauge theories based on the Ginsparg-Wilson relation, the gauge field dependence of the fermion measure is determined through the so-called
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References

SHOWING 1-10 OF 110 REFERENCES
Gauge Invariant Effective Action in Abelian Chiral Gauge Theory on the Lattice
Luscher's recent formulation of Abelian chiral gauge theories on the lattice, in the vacuum (or perturbative)sector in infinite volume, is reinterpreted in terms of the lattice covariant
Renormalization of the abelian Higgs-Kibble model
This article is devoted to the perturbative renormalization of the abelian Higgs-Kibble model, within the class of renormalizable gauges which are odd under charge conjugation. The Bogoliubov
...
...