2014/02/28 by Mikhail Denissenya, M. Denissenya, L. Ya. Glozman +1 · 3 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Isovector #Mathematical physics #Meson #Nucleon #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quark #hep-lat #hep-ph #hep-th #nucl-th
paper · pdf · doi:10.1103/physrevd.89.077502
published as Phys. Rev. D89, 077502 (2014) · 5 pp. The title has been changed, the paper has been restructured and a few references have been added. To appear in PRD
arxiv created 2014/04/26 · openalex publication_date 2014/04/29 · arxiv updated 2014/06/10 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Using the chirally invariant overlap Dirac operator, we remove its lowest-lying quasizero modes from the valence quark propagators and study evolution of isovector mesons with J=1. At the truncation level, about 50 MeV SU(2)L\ifmmode×\else\texttimes\fiSU(2)R and U(1)A symmetries get restored. However, we observe a degeneracy not only within the chiral and U(1)A multiplets, but also a degeneracy of all possible chiral multiplets, i.e., the observed quantum levels have a symmetry larger than U(2)L\ifmmode×\else\texttimes\fiU(2)R and their energy does not depend on the spin orientation of quarks and their parities. We offer a possible interpretation of these energy levels as the quantum levels of the dynamical QCD string. The structure of the radial J=1 spectrum is compatible with E=(nr+1)\ensuremathℏ\ensuremathω with \ensuremathℏ\ensuremathω=900\ifmmode±\else\textpm\fi70 MeV.