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Chiral Symmetry and the Residual Mass in Lattice QCD with the Optimal Domain-Wall Fermion

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arxiv 1205.6151 v3 pith:RN4TAG42 submitted 2012-05-28 hep-lat hep-phhep-th

Yu-Chih Chen , Ting-Wai Chiu (TWQCD collaboration) This is my paper · ORCID
classification hep-lathep-phhep-th
keywords domain-walllatticemassresidualchiralfermionobtainoptimal
verification ladder T0 review T1 audit T2 compute T3 formal

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We derive the axial Ward identity for lattice QCD with domain-wall fermions, and from which we obtain a formula for the residual mass (45)-(46), that can be used to measure the chiral symmetry breaking due to the finite extension Ns in the fifth dimension. Furthermore, we obtain an upper bound for the residual mass in lattice QCD with the optimal domain-wall fermion.

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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. 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. 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.

  3. Symmetries in high-temperature lattice QCD with (u, d, s, c, b) optimal domain-wall quarks

    hep-lat 2024-11 conditional novelty 5.0 of 10

    In five-flavor lattice QCD with heavy up/down quarks, chiral symmetry restoration proceeds hierarchically from SU(2) to SU(5) with temperature, and the emergent chiral-spin symmetry windows are dominated by bottom-lig...

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