Reduction of the QCD string to a time component vector potential

Details Reduction of the QCD string to a time component vector potential Reduction of the QCD string to a time component vector potential

2003-06-13

arxiv.org/abs/hep-ph/0306128v1

Phys.Rev. D68 (2003) 054022

Physics

High Energy Physics

High Energy Physics - Phenomenology

RevTeX4, 10 pages, 3 eps figures

Scientific paper

10.1103/PhysRevD.68.054022

We demonstrate the equivalence of the relativistic flux tube model of mesons to a simple potential model in the regime of large radial excitation. We make no restriction on the quark masses; either quark may have a zero or finite mass. Our primary result shows that for fixed angular momentum and large radial excitation, the flux tube/QCD string meson with a short-range Coulomb interaction is described by a spinless Salpeter equation with a time component vector potential V(r) = ar - k/r.

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