Symmetries of mesons after unbreaking of chiral symmetry and their string interpretation

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) sub(L) x SU(2) sub(R) and U(1) sub(A) symmetries get restored. However, w...

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Bibliographic Details
Published in:Physical review. D, Particles, fields, gravitation, and cosmology Particles, fields, gravitation, and cosmology, 2014-04, Vol.89 (7), Article 077502
Main Authors: Denissenya, M., Glozman, L. Ya, Lang, C. B.
Format: Article
Language:English
Subjects:
Cosmology
Evolution
Gravitation
Invariants
Mesons
Quarks
Strings
Symmetry
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Summary: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) sub(L) x SU(2) sub(R) and U(1) sub(A) symmetries get restored. However, we observe a degeneracy not only within the chiral and U(1) sub(A) multiplets, but also a degeneracy of all possible chiral multiplets, i.e., the observed quantum levels have a symmetry larger than U(2) sub(L) x U(2) sub(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 = (n sub(r) + 1)h omega with h omega = 900 + or - 70 MeV.
ISSN:1550-7998
1550-2368
DOI:10.1103/PhysRevD.89.077502