Chiralspin symmetry and QCD at high temperature

TL;DR

This paper discusses how high-temperature QCD exhibits emergent symmetries, specifically SU(2)_CS and SU(2N_F), which are also preserved when a chemical potential is introduced, indicating a symmetric phase beyond chiral restoration.

Contribution

It demonstrates that the chemical potential term in QCD preserves the same symmetries as the high-temperature phase, extending the understanding of symmetry properties in QCD at finite temperature and chemical potential.

Findings

QCD at high temperature exhibits SU(2)_CS and SU(2N_F) symmetry.

The chemical potential term in QCD maintains these symmetries.

QCD matter beyond the chiral restoration line is approximately symmetric.

Abstract

It has been found very recently on the lattice that at high temperature at vanishing chemical potential QCD is increasingly SU(2)_CS and SU(2N_F) symmetric. We demonstrate that the chemical potential term in the QCD Lagrangian has precisely the same symmetry. Consequently the QCD matter beyond the chiral restoration line on the T - \mu plane is at least approximately SU(2)_CS and SU(2N_F) symmetric.