2015/04/09 by L. Ya. Glozman, Glozman, L. Ya., M. Pak +1
Chemistry · Physics and Astronomy · #Advanced NMR Techniques and Applications #Atomic and Subatomic Physics Research #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #Quantum Chromodynamics and Particle Interactions #hep-lat #hep-ph
paper · pdf · doi:10.48550/arxiv.1504.02323
Implication chapter added, figure added; Version accepted for publication in Phys. Rev. D
openalex publication_date 2015/04/09 · arxiv created 2015/06/16 · arxiv updated 2015/06/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In recent lattice calculations it has been discovered that mesons upon truncation of the quasi-zero modes of the Dirac operator obey a symmetry larger than the SU(2)L × SU(2)R× U(1)A symmetry of the QCD Lagrangian. This symmetry has been suggested to be SU(4) ⊃ SU(2)L × SU(2)R× U(1)A that mixes not only the u- and d-quarks of a given chirality, but also the left- and right-handed components. Here it is demonstrated that bilinear qq interpolating fields of a given spin J ≥ 1 transform into each other according to irreducible representations of SU(4) or, in general, SU(2NF). This fact together with the coincidence of the correlation functions establishes SU(4) as a symmetry of the J ≥ 1 mesons upon quasi-zero mode reduction. It is shown that this symmetry is a symmetry of the confining instantaneous charge-charge interaction in QCD. Different subgroups of SU(4) as well as the SU(4) algebra are explored.