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.

arXiv comment4 pp, to appear in EPJA

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• Chiral symmetry and the string description of excited hadrons
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