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Lattice Chiral Fermions Through Gauge Fixing

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arxiv hep-lat/9709154 v2 pith:5WA7K4FG submitted 1997-09-30 hep-lat hep-phhep-th

Wolfgang Bock (Humboldt University) , Maarten Golterman (Washington University) , Yigal Shamir (Tel Aviv University) This is my paper · ORCID
classification hep-lathep-phhep-th
keywords fermionsgaugechirallatticechargedconcreteconstrainedcontains
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We study a concrete lattice regularization of a U(1) chiral gauge theory. We use Wilson fermions, and include a Lorentz gauge-fixing term and a gauge-boson mass counterterm. For a reduced version of the model, in which the gauge fields are constrained to the trivial orbit, we show that there are no species doublers, and that the fermion spectrum contains only the desired states in the continuum limit, namely charged left-handed (LH) fermions and neutral right-handed (RH) fermions.

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  1. Unpaired Weyl fermion on an axion string in a finite lattice

    hep-th 2025-06 conditional novelty 6.0 of 10

    A modified crossed-domain-wall axion string on an N=28 periodic lattice produces an unpaired, single-chirality Weyl fermion branch, extending the Kaplan-Sen disk construction to string defects.

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