Dynamical regimes of the QCD string with light and heavy quarks
Abstract
The generalization of the effective action of the quark-antiquark system at large distances [1] is performed for the case of arbitrary quark masses implementing the minimal area law for the averaged Wilson loop. The system is quantized by the path integral method and the quantum Hamiltonian is obtained. As well as in the equal masses case [1] two dynamical regimes are found: at large orbital excitations (l≫1) the system behaves as a string leading to linear Regge trajectories, while at small l one obtains a potential-like relativistic or nonrelativistic regime. The resulting spectra for these two regimes merge very smoothly. In the limiting cases of light-light and heavy-light mesons the unified description is obtained. For the Regge trajectories one gets nearly straight-line patterns with the slope very close to (1/2πσ) and 1/πσ correspondingly.
- Publication:
-
Physics Letters B
- Pub Date:
- August 1994
- DOI:
- 10.1016/0370-2693(94)90608-4
- arXiv:
- arXiv:hep-ph/9408278
- Bibcode:
- 1994PhLB..334..180G
- Keywords:
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- High Energy Physics - Phenomenology
- E-Print:
- 31 pages, preprint ITEP 62-94