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

Abstract

The 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.

arXiv comment1. 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

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• Chirally symmetric but confining dense and cold matter
• Holographic quarkyonic matter
• A covariant study of tensor mesons
• Fluctuations in cool quark matter and the phase diagram of Quantum Chromodynamics
• Chiral symmetry and the string description of excited hadrons
• Excited Scalar and Pseudoscalar Mesons in the Extended Linear Sigma Model
• Alternative experimental evidence for chiral restoration in excited baryons
• Experimental and theoretical evidences for an intermediate $\sigma$-dressed dibaryon in the NN interaction
• The large degeneracy of excited hadrons and quark models
• DbarN interaction in a color-confining chiral quark model
• Chiral restoration in excited nucleons versus SU(6)
• Infrared stability of quarkyonic matter with the 1/p^4 confinement
• Confined but chirally symmetric hadrons at large density and the Casher's argument
• Mapping chiral symmetry breaking in the excited baryon spectrum
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• Chiral symmetry and excited baryons
• Quark running mass and vacuum energy density in truncated Coulomb gauge QCD for five orders of magnitude of current masses
• Chiral symmetry breaking and the Lorentz nature of confinement
• Gluon Excitations and Quark Chiral Symmetry in the Meson Spectrum: an Einbein Solution to the Large Degeneracy Problem of Light Mesons
• Chirally symmetric but confined hadrons at finite density
• Chiral symmetry and the properties of hadrons in the Generalised Nambu-Jona-Lasinio model
• The Radial Excited Heavy Mesons
• Quark models: What can they teach us?
• Effect of Transverse Gluons on Chiral Restoration in Excited Mesons
• Chirally symmetric and confining dense matter with a diffused quark Fermi surface
• Confined but chirally and chiral spin symmetric hot matter
• Effective Chiral Symmetry Restoration for Heavy-Light Mesons
• Chiral symmetry and its breaking