# 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}
}
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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
• Physics
• 1975