2015/11/18 by L. Ya. Glozman, Glozman, L. Ya.
Chemistry · Physics and Astronomy · #Advanced NMR Techniques and Applications #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Nuclear Theory (nucl-th) #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #hep-lat #hep-ph #hep-th #nucl-th
paper · pdf · doi:10.48550/arxiv.1511.05857
7 pp. Further clarifications and references have been added
openalex publication_date 2015/11/18 · arxiv created 2016/05/25 · arxiv updated 2016/05/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Recently a global SU(4) ⊃ SU(2)L × SU(2)R × U(1)A symmetry of the confining Coulombic part of the QCD Hamiltonian has been discovered with NF=2. This global symmetry includes both independent rotations of the left- and right-handed quarks in the isospin space as well as the chiralspin rotations that mix the left- and right-handed components of the quark fields. It has been suggested by lattice simulations, however, that a symmetry of mesons in the light quark sector upon the quasi-zero mode truncation from the quark propagators is actually higher than SU(4), because the states from a singlet and a 15-plet irreducible representations of SU(4) are also degenerate. Here we demonstrate that classically QCD, ignoring irrelevant exact zero mode contributions, has a SU(2NF) symmetry. If effects of dynamical chiral symmetry breaking and of anomaly are encoded in the same near-zero modes, then truncation of these modes should restore a classical SU(2NF) symmetry. Then we show in a Lorentz- and gauge-invariant manner emergence of a bilocal SU(4) × SU(4) symmetry in mesons that contains a global SU(4) as a subgroup upon truncation of the quasi-zero modes. We also demonstrate that the confining Coulombic part of the QCD Hamiltonian has this bilocal symmetry. It explains naturally a degeneracy of different irreducible representations of SU(4) observed in lattice simulations.