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

TL;DR

The paper identifies an SU(4) symmetry responsible for meson degeneracy in lattice QCD simulations, suggesting it underpins the dynamical QCD string and influences light hadron spectra.

Contribution

It establishes the SU(4) symmetry group responsible for meson degeneracy and links it to the dynamical QCD string, providing a new perspective on hadron spectrum genesis.

Findings

Discovery of SU(4) symmetry responsible for meson degeneracy

Identification of this symmetry as a property of the dynamical QCD string

Implications for understanding light 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.