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Exact chiral symmetry on the lattice and the Ginsparg-Wilson relation

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arxiv hep-lat/9802011 v1 pith:L76C3EIG submitted 1998-02-10 hep-lat hep-th

classification hep-lathep-th
keywords chirallatticesymmetryexactfermionginsparg-wilsonrelationtheorem
verification ladder T0 review T1 audit T2 compute T3 formal
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It is shown that the Ginsparg-Wilson relation implies an exact symmetry of the fermion action, which may be regarded as a lattice form of an infinitesimal chiral rotation. Using this result it is straightforward to construct lattice Yukawa models with unbroken flavour and chiral symmetries and no doubling of the fermion spectrum. A contradiction with the Nielsen-Ninomiya theorem is avoided, because the chiral symmetry is realized in a different way than has been assumed when proving the theorem.

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Cited by 12 Pith papers

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

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    hep-th 2026-07 conditional novelty 6.5 of 10

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  5. Diagonal Kenney-Laub Rational Approximation to the Overlap Operator using Wilson and Brillouin Kernel

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  11. Domain wall fermions

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    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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