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Solutions of the Ginsparg-Wilson Relation

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arxiv hep-lat/9806019 v2 pith:PILCRSRD submitted 1998-06-19 hep-lat cond-mat.str-elhep-phhep-th

Ting-Wai Chiu , Sergei V. Zenkin This is my paper · ORCID
classification hep-latcond-mat.str-elhep-phhep-th
keywords ginsparg-wilsonoperatorsrelationsolutionsanalyzebackgroundconditiondirac
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We analyze general solutions of the Ginsparg-Wilson relation for lattice Dirac operators and formulate a necessary condition for such operators to have non-zero index in the topologically nontrivial background gauge fields.

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Cited by 2 Pith papers

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  1. Renormalization of meson susceptibilities and RG-invariant symmetry ratios in QCD

    hep-lat 2026-07 accept novelty 6.0 of 10

    A proof that the temperature-subtracted symmetry ratio of meson susceptibilities is exactly renormalization-group invariant for chirally symmetric lattice fermions.

  2. Toward precise $\xi$ gauge fixing for the lattice QCD

    hep-lat 2025-09 conditional novelty 6.0 of 10

    An empirical precision-extrapolation method reproduces the ξ-dependent RI/MOM renormalization constants of quark bilinear operators on the lattice to 0.2-0.3% for ξ up to 1.

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