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arXiv · 1508.01413

Emergence of a new $SU(4)$ symmetry in the baryon spectrum

M. Denissenya·L. Ya. Glozman·M. Pak
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Abstract

Recently a large degeneracy of $J=1$ mesons, that is larger than the $SU(2)_L \times SU(2)_R \times U(1)_A$ symmetry of the QCD Lagrangian, has been discovered upon truncation of the near-zero modes from the valence quark propagators. It has been found that this degeneracy represents the $SU(4)$ group that includes the chiral rotations as well as the mixing of left- and right-handed quarks. This symmetry group turns out to be a symmetry of confinement in QCD. Consequently, one expects that the same symmetry should persist upon the near-zero mode removal in other hadron sectors as well. It has been shown that indeed the $J=2$ mesons follow the same symmetry pattern upon the low-lying mode elimination. Here we demonstrate the $SU(4)$ symmetry of baryons once the near-zero modes are removed from the quark propagators. We also show a degeneracy of states belonging to different irreducible representations of $SU(4)$. This implies a larger symmetry, that includes $SU(4)$ as a subgroup.

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M. Denissenya, L. Ya. Glozman, M. Pak. 2015-08-06. Emergence of a new $SU(4)$ symmetry in the baryon spectrum. https://arxiv.org/abs/1508.01413

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