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Exact chiral symmetry, topological charge and related topics

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arxiv hep-lat/9810026 v1 pith:M6SHHTNK submitted 1998-10-12 hep-lat

Ferenc Niedermayer (Univ. of Bern) This is my paper · ORCID
classification hep-lat
keywords chirallatticeoperatorsbeenbrieflychargechiralityconstruct
verification ladder T0 review T1 audit T2 compute T3 formal
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It has been shown recently that Dirac operators satisfying the Ginsparg-Wilson relation provide a solution of the chirality problem in QCD at finite lattice spacing. We discuss different ways to construct these operators and their properties. The possibility to define lattice chiral gauge theories is briefly discussed as well.

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Cited by 3 Pith papers

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

  1. N=1 Supersymmetric QCD on the lattice using overlap fermions

    hep-lat 2025-07 conditional novelty 6.0 of 10

    A chirally symmetric overlap lattice action for N=1 SQCD is constructed by introducing auxiliary fermion fields that are integrated out, yielding new ultralocal interaction terms.

  2. Topological susceptibility and excess kurtosis in SU(3) Yang-Mills theory

    hep-lat 2025-01 unverdicted novelty 4.0 of 10

    High-precision lattice computation yields χ_top^{1/4} = 198.1(0.7)(2.7) MeV for SU(3) Yang-Mills after continuum and infinite-volume extrapolation from seven spacings and volumes.

  3. 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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