Continuum extrapolation of lattice QCD data shows that SU(2)_L × SU(2)_R chiral and U(1)_A axial symmetry breaking strengths in nonsinglet quark-connected channels converge to the same value near the chiral crossover temperature.
Glozman,SU(4) symmetry of the dynamical QCD string and genesis of hadron spectra,Eur
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abstract
A large degeneracy of mesons of a given spin has recently been discovered upon reduction of the quasi-zero modes of the Dirac operator in a dynamical lattice simulation. Here a symmetry group that is responsible for this degeneracy is established, which is SU(4) \supset SU(2)_L \times SU(2)_R \times U(1)_A \times C_i. It is argued that this symmetry group is a symmetry of the dynamical QCD string. Implications of this picture for a genesis of light hadron spectra are discussed.
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Lattice QCD finds evidence for effective U(1)_A symmetry restoration at 319(22) MeV, well above the chiral crossover.
QCD at high T has three phases differing in symmetries, degrees of freedom and N_c scaling: hadron gas below T_ch, stringy fluid between T_ch and T_d, and quark-gluon plasma above T_d.
citing papers explorer
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RG-Invariant Symmetry Ratio for QCD: A Study of $U(1)_A$ and Chiral Symmetry Restoration
Continuum extrapolation of lattice QCD data shows that SU(2)_L × SU(2)_R chiral and U(1)_A axial symmetry breaking strengths in nonsinglet quark-connected channels converge to the same value near the chiral crossover temperature.
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On the effective restoration of $U(1)_A$ symmetry at finite temperature
Lattice QCD finds evidence for effective U(1)_A symmetry restoration at 319(22) MeV, well above the chiral crossover.
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Three regimes/phases of QCD at high T, their symmetries and N_c scaling
QCD at high T has three phases differing in symmetries, degrees of freedom and N_c scaling: hadron gas below T_ch, stringy fluid between T_ch and T_d, and quark-gluon plasma above T_d.