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Study of the axial U(1) anomaly at high temperature with lattice chiral fermions

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arxiv 2011.01499 v2 pith:OG7UA2UV submitted 2020-11-03 hep-lat

S. Aoki , Y. Aoki , G. Cossu , H. Fukaya , S. Hashimoto , T. Kaneko , C. Rohrhofer , K. Suzuki (JLQCD collaboration) This is my paper · ORCID
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keywords axialanomalychirallatticeactionfermioninvestigatemass
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We investigate the axial U(1) anomaly of two-flavor QCD at temperatures 190--330 MeV. In order to preserve precise chiral symmetry on the lattice, we employ the Mobius domain-wall fermion action as well as overlap fermion action implemented with a stochastic reweighting technique. Compared to our previous studies, we reduce the lattice spacing to 0.07 fm, simulate larger multiple volumes to estimate finite size effect, and take more than four quark mass points, including one below physical point to investigate the chiral limit. We measure the topological susceptibility, axial U(1) susceptibility, and examine the degeneracy of U(1) partners in meson and baryon correlators. All the data above the critical temperature indicate that the axial U(1) violation is consistent with zero within statistical errors. The quark mass dependence suggests disappearance of the U(1) anomaly at a rate comparable to that of the SU(2)_L x SU(2)_R symmetry breaking.

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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. Imprints of $U_A(1)$ chiral anomaly and disorder in the Dirac eigenspectrum of QCD at finite temperature

    hep-lat 2026-02 unverdicted novelty 7.0 of 10

    Lattice QCD calculations show intermediate statistics in Dirac eigenvalues near the chiral crossover that correlate with disorder via Polyakov loops, with Thouless conductance serving as a new probe for effective UA(1...

  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. Dirac mode localization in QCD near the crossover temperature

    hep-lat 2026-02 conditional novelty 6.0 of 10

    Low-lying Dirac modes in QCD localize at Tloc ≈ 155–158 MeV, the same temperature range as the chiral crossover.

  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...

  5. Probing the chiral and $U(1)$ axial symmetry restoration via meson susceptibilities in holographic QCD

    hep-ph 2026-03 conditional novelty 5.0 of 10

    In a soft-wall holographic QCD model, chiral symmetry restores at ~155 MeV while the U(1) axial symmetry restores near 190 MeV — a separation the authors present despite an admitted mismatch with lattice QCD below 175 MeV.

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