SU(4) symmetry of the dynamical QCD string and genesis of hadron spectra

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.

4 pp, to appear in EPJA

References in corpus (5)

• Restoration of chiral and $U(1{)}_A$ symmetries in excited hadrons
• Symmetries of hadrons after unbreaking the chiral symmetry
• Isoscalar mesons upon unbreaking of chiral symmetry
• Chiral symmetry and the string description of excited hadrons
• Chiral symmetry, the angular content of the vector current in QED and QCD, and the holographic description of hadrons

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• Chiral symmetry and the properties of hadrons in the Generalised Nambu-Jona-Lasinio model
• Fluctuations of conserved charges, chiral spin symmetry and deconfinement in an SU(2)_color subgroup of SU(3)_color above T_c
• Symmetries of spatial correlators of light and heavy mesons in high temperature lattice QCD
• Quark models: What can they teach us?
• Symmetry of screening masses of mesons in two-flavor lattice QCD at high temperatures
• Chiral-spin symmetry emergence in baryons and eigenmodes of the Dirac operator
• Symmetries in high-temperature lattice QCD with (u, d, s, c, b) optimal domain-wall quarks
• Confined but chirally and chiral spin symmetric hot matter
• Emergent chirality and superfluidity of parity-doubled baryons in neutron stars
• A finite box as a tool to distinguish free quarks from confinement at high temperatures