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A construction of lattice chiral gauge theories

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arxiv hep-th/9411108 v1 pith:ZDWXKN75 submitted 1994-11-15 hep-th hep-lathep-ph

classification hep-thhep-lathep-ph
keywords chiralfermionsconstructiongaugeauxiliaryavoidsconfigurationsconservation
verification ladder T0 review T1 audit T2 compute T3 formal
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Path integration over Euclidean chiral fermions is replaced by the quantum mechanics of an auxiliary system of non--interacting fermions. Our construction avoids the no--go theorem and faithfully maintains all the known important features of chiral fermions, including the violation of some perturbative conservation laws by gauge field configurations of non--trivial topology.

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Cited by 6 Pith papers

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

  1. Exactly Solvable 1+1d Chiral Lattice Gauge Theories

    hep-th 2026-01 conditional novelty 7.0 of 10

    Anomaly-free chiral U(1) gauge theories in 1+1 dimensions can be written as quadratic, exactly solvable lattice Hamiltonians, with the 34-50 model as an explicit example.

  2. Bifrost-1: Bridging Multimodal LLMs and Diffusion Models with Patch-level CLIP Latents

    cs.CV 2025-08 conditional novelty 7.0 of 10

    In 2D SU(2) with a massless Majorana fermion, two of the four partition functions vanish in the continuum limit; the topological condensate approaches 0.162(3) per color degree of freedom, and there is no spontaneous ...

  3. Perturbative quantum electrodynamics with generalized domain wall fermions

    hep-lat 2026-07 conditional novelty 6.0 of 10

    For generalized domain-wall fermions, the O(e^2) electromagnetic expansion requires new local seagull and anti-quark contact vertices, derived here for the first time.

  4. RG-Invariant Symmetry Ratio for QCD: A Study of $U(1)_A$ and Chiral Symmetry Restoration

    hep-lat 2026-02 conditional novelty 6.0 of 10

    In the continuum limit, κ_PS, κ_VA and κ_TX are all consistent with zero and with each other down to 164 MeV, implying concurrent chiral and U(1)_A restoration in the quark-connected nonsinglet sector.

  5. Lattice study of two-dimensional SU(2) gauge theories with a single massless Majorana fermion

    hep-lat 2025-08 unverdicted novelty 5.0 of 10

    For 2D SU(2) gauge theory with one massless Majorana fermion, only one of the two overlap zero-mode classes survives the continuum limit depending on boundary conditions, and a zero-mode-excluding 'topological condens...

  6. 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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