Abstract
I discuss "truncated" QCD studied recently by Glozman et al. through numerical simulations. For two flavors it was observed that truncation restores the full chiral U(2)×U(2) symmetry of the Lagrangian. Moreover, additional enhancement of the above symmetry connecting representations with distinct Lorentz spins was observed. I argue that the chiral symmetry restoration in a confining theory could entail emergent (extra) dynamical flavors which would show up in the spectrum of color-singlet particles, provided their mass ≠0. As an example, I consider truncated QCD with a single massless Dirac quark. Assuming the validity of the above observations, I demonstrate how a dynamical SU(2)fl symmetry could emerge for massive spin-1 mesons without contradicting general principles.
Original language | English (US) |
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Article number | 074035 |
Journal | Physical Review D |
Volume | 93 |
Issue number | 7 |
DOIs | |
State | Published - Apr 27 2016 |
Bibliographical note
Publisher Copyright:© 2016 American Physical Society.