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Generalized Ginsparg-Wilson relations

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arxiv 2309.08542 v2 pith:ZSWKYUNJ submitted 2023-09-15 hep-lat cond-mat.str-elhep-th

Michael Clancy , David B. Kaplan , Hersh Singh This is my paper · ORCID
classification hep-latcond-mat.str-elhep-th
keywords relationsanomaliesginsparg-wilsonactionapplychiralclassescontinuous
verification ladder T0 review T1 audit T2 compute T3 formal
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We give a general derivation of Ginsparg-Wilson relations for both Dirac and Majorana fermions in any dimension. These relations encode continuous and discrete chiral, parity and time reversal anomalies and will apply to the various classes of free fermion topological insulators and superconductors (in the framework of a relativistic quantum field theory in Euclidean spacetime). We show how to formulate the exact symmetries of the lattice action and the relevant index theorems for the anomalies.

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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. Ginsparg-Wilson Hamiltonians with Improved Chiral Symmetry

    hep-lat 2025-05 conditional novelty 7.0 of 10

    A tunable family of Ginsparg-Wilson Hamiltonians is constructed in which the chiral charge becomes progressively more quantized as k increases, though locality degrades.

  2. Bosonization versus the Nielsen-Ninomiya theorem

    hep-th 2026-07 conditional novelty 6.5 of 10

    The 2D modified Villain model's Weyl operators reproduce free Dirac correlations in the continuum, and their no-doubler Dirac kernel is non-local, showing exactly how bosonization evades the Nielsen-Ninomiya theorem.

  3. 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.

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