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The High Temperature Phase of QCD and {\boldmath $U(1)_A$} Symmetry

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arxiv hep-ph/9601216 v2 pith:NAEW6YR2 submitted 1996-01-05 hep-ph

Thomas. D. Cohen This is my paper · ORCID
classification hep-ph
keywords phaseassumptionshightemperaturetimesanomalousboldmathbreaking
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abstract

Inequalities for QCD functional integrals are used to establish that up to certain technical assumptions. the high temperature chirally restored phase of QCD is effectively symmetric under $U(N_f) \times U(N_f)$ rather than $SU(N_f) \times SU(N_f)$. If these assumptions are correct, there are no effects due to anomalous breaking of $U(1)_A$ on correlation functions in this phase.

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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. 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. Does hot QCD have a conformal manifold in the chiral limit?

    hep-th 2026-03 unverdicted novelty 6.0 of 10

    An 't Hooft anomaly at general imaginary baryon chemical potential constrains the QCD chiral transition to three minimal CFT scenarios, with the favored one for N_f >= 3 featuring a conformal manifold of theta_B-depen...

  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. Symmetry of screening masses of mesons in two-flavor lattice QCD at high temperatures

    hep-lat 2025-01 accept novelty 6.0 of 10

    Using Möbius domain-wall fermions in two-flavor QCD, the authors find that vector/axial-vector and tensor/axial-tensor screening masses become degenerate above Tc, while the chiral-spin A-X splitting stays around 40 M...

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