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Which chiral symmetry is restored in hot QCD?

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arxiv hep-ph/9310253 v1 pith:CKMGRWVJ submitted 1993-10-08 hep-ph hep-lat

Edward Shuryak (Physics Department , SUNY at Stony Brook , NY , ITP , UCSB , Santa Barbara , CA) This is my paper · ORCID
classification hep-phhep-lat
keywords chiralsymmetrypossiblerestorationrestoredapproximatelycalculationsclarify
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We review the current status of the problem of chiral symmetry restoration, discussing an open question of whether at the $SU(N_f)_A$ restoration point $T=T_c$ the $U(1)_A$ chiral symmetry is or is not (approximately) restored. New lattice and instanton-based studies are considered, and some new calculations are suggested to clarify the issue. We also speculate on possible experimental manifestations of two possible scenarios.

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Cited by 5 Pith papers

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

  1. Chiral and $U(1)_A$ symmetries in background magnetic fields from lattice QCD

    hep-lat 2026-07 conditional novelty 6.5 of 10

    Neutral-sector chiral and U(1)A susceptibility splittings exhibit magnetic catalysis at low T and inverse-catalysis-like suppression at large eB near the QCD crossover on HISQ lattices.

  2. Meson Screening Masses in (2+1)-Flavor QCD

    hep-lat 2019-08 conditional novelty 6.0 of 10

    Continuum-extrapolated lattice QCD screening masses show vector-axial-vector degeneracy at Tpc and scalar-pseudoscalar degeneracy near 1.3Tpc, while J=0 and J=1 channels remain split up to 2.5 GeV.

  3. Lattice gradient flows (de-)stabilizing topological sectors

    hep-lat 2024-11 conditional novelty 5.0 of 10

    Iwasaki and DBW2 gradient flows keep the topological charge of SU(2) gauge configurations stable at long flow times, unlike Wilson and Symanzik flows; DBW2 quantizes the charge already near t=0.5.

  4. Aspects of the chiral crossover transition in (2+1)-flavor QCD with M\"{o}bius domain-wall fermions

    hep-lat 2024-11 conditional novelty 5.0 of 10

    On an Nτ=8 MDWF lattice, the non-singlet chiral symmetry restores at Tpc=158.7 MeV, while the UA(1) singlet symmetry remains effectively broken up to 186 MeV, as inferred from the temperature dependence of the topolog...

  5. Anomalies, Topology, and Hadron Structure in QCD

    hep-ph 2026-06 conditional novelty 3.0 of 10

    A review unifying the QCD axial and trace anomalies with vacuum topology, arguing that the proton spin puzzle and the U(1)_A problem are both controlled by topological screening encoded in the susceptibility slope χ′(0).

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