Chiral symmetry patterns of excited mesons with the Coulomb-like linear confinement

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dc.creatorWagenbrunn, R. F.
dc.creatorGlozman, L. Ya.
dc.date2007-01-05
dc.date2007-01-24
dc.date.accessioned2026-07-07T10:37:43Z
dc.date.available2026-07-07T10:37:43Z
dc.descriptionThe spectrum of $\bar q q$ mesons in a model where the only interaction is a linear Coulomb-like instantaneous confining potential is studied. The single-quark Green function as well as the dynamical chiral symmetry breaking are obtained from the Schwinger-Dyson (gap) equation. Given the dressed quark propagator, a complete spectrum of "usual" mesons is obtained from the Bethe-Salpeter equation. The spectrum exhibits restoration of chiral and $U(1)_A$ symmetries at large spins and/or radial excitations. This property is demonstrated both analytically and numerically. At large spins and/or radial excitations higher degree of degeneracy is observed, namely all states with the given spin fall into reducible representations $[(0,1/2) \oplus (1/2,0)] \times [(0,1/2) \oplus (1/2,0)]$ that combine all possible chiral multiplets with the given $J$ and $n$. The structure of the meson wave functions as well as the form of the angular and radial Regge trajectories are investigated.
dc.description1. Order of references has been changed and one reference has been added; 2. A short discussion of nonrelativistic and semirelativistic quark models has been added in the conclusion part on referee's request. To appear in Phys. Rev. D
dc.identifierhttps://arxiv.org/abs/hep-ph/0701039
dc.identifierhttp://arxiv.org/abs/hep-ph/0701039
dc.identifierPhys.Rev.D75:036007,2007
dc.identifierdoi:10.1103/PhysRevD.75.036007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/180471
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Experiment
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Theory
dc.subjectNuclear Theory
dc.titleChiral symmetry patterns of excited mesons with the Coulomb-like linear confinement
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