Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2007-01-05
Phys.Rev.D75:036007,2007
Physics
High Energy Physics
High Energy Physics - Phenomenology
1. Order of references has been changed and one reference has been added; 2. A short discussion of nonrelativistic and semirel
Scientific paper
10.1103/PhysRevD.75.036007
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.
Glozman Leonid Ya.
Wagenbrunn Robert F.
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