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arXiv · hep-ph/0306128

Reduction of the QCD string to a time component vector potential

Theodore J. Allen·M. G. Olsson
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Abstract

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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Theodore J. Allen, M. G. Olsson. 2003-06-13. Reduction of the QCD string to a time component vector potential. https://doi.org/10.1103/physrevd.68.054022

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