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Optimal lattice domain-wall fermions

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arxiv hep-lat/0209153 v5 pith:BE7MP7T2 submitted 2002-09-25 hep-lat hep-phhep-thmath-phmath.MP

Ting-Wai Chiu This is my paper · ORCID
classification hep-lathep-phhep-thmath-phmath.MP
keywords chiraldomain-wallfinitelatticeoptimallysymmetryactionconventional
verification ladder T0 review T1 audit T2 compute T3 formal
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I show that the conventional formulations of lattice domain-wall fermion with any finite N_s (in the fifth dimension) do not preserve the chiral symmetry optimally and propose a new action which preserves the chiral symmetry optimally for any finite N_s.

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Cited by 4 Pith papers

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

  1. Lattice fermion formulation via Physics-Informed Neural Networks: Ginsparg-Wilson relation and Overlap fermions

    hep-lat 2026-05 unverdicted novelty 7.0 of 10

    PINNs optimize Dirac operators to satisfy the Ginsparg-Wilson relation, reproducing overlap fermions and autonomously recovering both the standard and a Fujikawa-type generalized GW relation via polynomial ansatz search.

  2. 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.

  3. 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.

  4. 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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