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arxiv: hep-lat/0209153 · v5 · submitted 2002-09-25 · ✦ hep-lat · hep-ph· hep-th· math-ph· math.MP

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Optimal lattice domain-wall fermions

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classification ✦ hep-lat hep-phhep-thmath-phmath.MP
keywords chiraldomain-wallfinitelatticeoptimallysymmetryactionconventional
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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.

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

    hep-lat 2026-05 unverdicted novelty 7.0

    Physics-informed neural networks construct overlap fermions by optimizing to the Ginsparg-Wilson relation and autonomously discover both the standard and generalized Fujikawa-type versions of the relation.

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

    hep-lat 2026-05 unverdicted novelty 7.0

    Physics-Informed Neural Networks construct lattice Dirac operators satisfying the Ginsparg-Wilson relation, reproducing overlap fermions to high accuracy and discovering a Fujikawa-type generalized relation via algebr...

  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

    Continuum extrapolation of lattice QCD data shows that SU(2)_L × SU(2)_R chiral and U(1)_A axial symmetry breaking strengths in nonsinglet quark-connected channels converge to the same value near the chiral crossover ...

  4. Domain wall fermions

    hep-lat 2026-03 unverdicted novelty 2.0

    Domain wall fermions recover exact chiral symmetry in the infinite fifth-dimension limit and produce an effective 4D operator satisfying the Ginsparg-Wilson relation.