Evidence for a new SU(4) symmetry with J=2 mesons

M. Denissenya, L. Ya. Glozman, and M. Pak
Phys. Rev. D 91, 114512 – Published 29 June 2015

Abstract

Recently, a new symmetry of mesons has been found upon truncation of the quasizero modes of the overlap Dirac operator in lattice simulations. Namely, the ρ, ρ, ω, ω, a1, b1, h1, and possibly f1 J=1 mesons get degenerate after removal of the quasizero modes. This emergent symmetry has been established to be SU(4)SU(2)L×SU(2)R×U(1)A. It is higher than the symmetry of the QCD Lagrangian and provides not only a mixing of quarks of given chirality in the isospin space, but also the mixing of left-handed and right-handed components. Here we study, with the overlap Dirac operator, the isovector J=2 mesons upon the quasizero mode reduction and observe a similar degeneracy. This result further supports the SU(4) symmetry in mesons of given spin J1.

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  • Received 13 May 2015

DOI:https://doi.org/10.1103/PhysRevD.91.114512

© 2015 American Physical Society

Authors & Affiliations

M. Denissenya*, L. Ya. Glozman, and M. Pak

  • Institut für Physik, FB Theoretische Physik, Universität Graz, Universitätsplatz 5, 8010 Graz, Austria

  • *mikhail.denissenya@uni-graz.at
  • leonid.glozman@uni-graz.at
  • markus.pak@uni-graz.at

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Issue

Vol. 91, Iss. 11 — 1 June 2015

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