Chiral spin symmetry and the QCD phase diagram

Abstract

Lattice QCD simulations with chirally symmetric quarks have recently established approximate $SU(2{)}_{CS}$ and $SU(2N_F)$ symmetries of the quantum effective action in a temperature range above the chiral crossover $T_{\mathrm{ch}}$, in which color-electric interactions between quarks dominate the dynamics. We show that such an intermediate temperature range between the chirally broken and plasma regimes is fully consistent with published screening mass spectra, which demonstrate the breakdown of thermal perturbation theory at the crossover between the partonic and the chiral spin symmetric regime at $T_s\sim (2-3)T_{\mathrm{ch}}$. From the known behavior of screening masses with baryon chemical potential, we deduce qualitatively how this chiral spin symmetric band extends into the QCD phase diagram. In the cold and dense region, we propose parity doubled baryons as possible candidates for chiral spin symmetric matter. This represents a special case of quarkyonic matter with confinement and restored chiral symmetry, and can smoothly transform to quark matter at sufficiently high densities. Finally, we discuss the potential of dilepton spectra to identify such matter forms.

arXiv comment12 pages, 6 figures, published version

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• Particle Interferometry in a Moat Regime
• Chiral spin symmetry and hot/dense QCD
• Pseudo-scalar meson spectral properties in the chiral crossover region of QCD
• SU(3) parity doubling in cold neutron star matter
• Fractional topological charge in $SU(N)$ gauge theories without dynamical quarks
• Quark models: What can they teach us?
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• Symmetry of screening masses of mesons in two-flavor lattice QCD at high temperatures
• Confined but chirally and chiral spin symmetric hot matter
• Emergent chirality and superfluidity of parity-doubled baryons in neutron stars
• Pion screening mass at finite chemical potential
• Supercritical-subcritical correspondence, asymmetric effects and antisymmetric corrections near a critical point
• Parity-doubled nucleons can rapidly cool neutron stars
• Physical Signatures of Supercritical Fluid Boundaries