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Lattice Chiral Gauge Theories

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arxiv hep-lat/0011027 v1 pith:VQXCI7UE submitted 2000-11-03 hep-lat hep-phhep-th

Maarten Golterman (Washington U.) This is my paper · ORCID
classification hep-lathep-phhep-th
keywords gaugeapproacheschiraldifferentfermionslatticetheoriesthree
verification ladder T0 review T1 audit T2 compute T3 formal

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I review the substantial progress which has been made recently with the non-perturbative construction of chiral gauge theories on the lattice. In particular, I discuss three different approaches: a gauge invariant method using fermions which satisfy the Ginsparg-Wilson relation, and two gauge non-invariant methods, one using different cutoffs for the fermions and the gauge fields, and one using gauge fixing. Open problems within all three approaches are addressed.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 49 citations worldwide. Full citation record

  1. Dynamics of $E_6$ Chiral Gauge Theories

    hep-th 2025-05 conditional novelty 7.0 of 10

    E6 gauge theories with NF=1,2,3 fundamentals are solved in the near-supersymmetric limit, and NF=3 admits a vacuum with unbroken SU(3) and massless composite fermions in the 10 representation.

  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.

  3. Lattice methods for students at a formal TASI

    hep-th 2019-07 unverdicted

    Lecture notes on lattice methods for formal TASI students covering basics, confinement, chiral fermions, and case studies in the 3D Ising model and QCD.

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