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Weyl fermions on the lattice and the non-abelian gauge anomaly

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arxiv hep-lat/9904009 v2 pith:42P6S4TD submitted 1999-04-26 hep-lat hep-th

classification hep-lathep-th
keywords gaugelatticeanomalylocalnon-abelianactionanomaliesattention
verification ladder T0 review T1 audit T2 compute T3 formal

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Starting from the Ginsparg-Wilson relation, a general construction of chiral gauge theories on the lattice is described. Local and global anomalies are easily discussed in this framework and a closed expression for the effective action can be obtained. Particular attention is paid to the non-abelian gauge anomaly, which is shown to be related to a local topological field on the lattice representing the Chern character in 4+2 dimensions.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Bosonization versus the Nielsen-Ninomiya theorem

    hep-th 2026-07 conditional novelty 6.5 of 10

    The 2D modified Villain model's Weyl operators reproduce free Dirac correlations in the continuum, and their no-doubler Dirac kernel is non-local, showing exactly how bosonization evades the Nielsen-Ninomiya theorem.

  2. Domain wall fermions

    hep-lat 2026-03 unverdicted novelty 2.0 of 10

    Domain wall fermions recover exact chiral symmetry in the infinite fifth dimension limit and produce an effective four-dimensional operator satisfying the Ginsparg-Wilson relation.

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