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

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arxiv 2411.16705 v2 pith:4DO6QCKI submitted 2024-11-18 hep-lat hep-ph

Ting-Wai Chiu This is my paper · ORCID
classification hep-lathep-ph
keywords timesquarkssymmetrytemperaturecombinationsdomain-wallflavorlattice
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We investigate the spatial $ z $-correlators of meson operators in $ N_f=2+1+1+1 $ lattice QCD with optimal domain-wall quarks across eight temperatures ranging from 325 to 3250 MeV. The meson operators include a complete set of Dirac bilinears for ten flavor combinations. Our findings reveal a hierarchical restoration of chiral symmetry in QCD with $ (u, d, s, c, b) $ quarks, progressing sequentially from $ SU(2)_L \times SU(2)_R \times U(1)_A $ to $ SU(3)_L \times SU(3)_R \times U(1)_A $, then to $ SU(4)_L \times SU(4)_R \times U(1)_A $, and finally to $ SU(5)_L \times SU(5)_R \times U(1)_A $ as the temperature increases. Additionally, we explore the emergence of the $ SU(2)_{CS} $ chiral-spin symmetry and compare the temperature windows for all flavor combinations. Our results indicate that the temperature windows for the emergent $SU(2)_{CS}$ symmetry are primarily dominated by the $ \bar{u} b $ and $ \bar{s} b $ sectors.

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Cited by 2 Pith papers

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

  1. 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.

  2. 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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