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.
Symmetries of spatial meson correlators in high temperature QCD
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abstract
Based on a complete set of $J = 0$ and $J=1$ spatial isovector correlation functions calculated with $N_F = 2$ domain wall fermions we identify an intermediate temperature regime of $T \sim 220 - 500$ MeV ($1.2T_c$--$2.8T_c$), where chiral symmetry is restored but the correlators are not yet compatible with a simple free quark behavior. More specifically, in the temperature range $T \sim 220 - 500$ MeV we identify a multiplet structure of spatial correlators that suggests emergent $SU(2)_{CS}$ and $SU(4)$ symmetries, which are not symmetries of the free Dirac action. The symmetry breaking effects in this temperature range are less than 5%. Our results indicate that at these temperatures the chromo-magnetic interaction is suppressed and the elementary degrees of freedom are chirally symmetric quarks bound into color-singlet objects by the chromo-electric component of the gluon field. At temperatures between 500 and 660 MeV the emergent $SU(2)_{CS}$ and $SU(4)$ symmetries disappear and one observes a smooth transition to the regime above $T \sim 1$ GeV where only chiral symmetries survive, which are finally compatible with quasi-free quarks.
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Varying interaction strength in DSE/BSE models produces meson degeneracies whose domains shrink with model realism, linked to quark propagator pole locations and possible chiral spin symmetry.
Lattice QCD finds evidence for effective U(1)_A symmetry restoration at 319(22) MeV, well above the chiral crossover.
Lattice data indicate hot QCD features an intermediate phase with emergent chiral spin symmetry and thermoparticles as thermal constituents, differing from perturbative expectations.
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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Chiral symmetry restoration effects onto the meson spectrum from a Dyson-Schwinger and Bethe-Salpeter approach
Varying interaction strength in DSE/BSE models produces meson degeneracies whose domains shrink with model realism, linked to quark propagator pole locations and possible chiral spin symmetry.
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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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Emergent chiral spin symmetry, non-perturbative dynamics and thermoparticles in hot QCD
Lattice data indicate hot QCD features an intermediate phase with emergent chiral spin symmetry and thermoparticles as thermal constituents, differing from perturbative expectations.
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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.