Reduction of the QCD string to a time component vector potential

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.

RevTeX4, 10 pages, 3 eps figures

References in corpus (7)

• QCD forces and heavy quark bound states
• Analytic Quantization of the QCD String
• Excited glue and the vibrating flux tube
• Universal Behavior in Excited Heavy-Light and Light-Light Mesons
• Curved QCD string dynamics
• Adiabatic string shape for non-uniform rotation
• QCD String Structure in Vector Confinement

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• An upper bound for asymmetrical spinless Salpeter equations
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• QCD string and the Lorentz nature of confinement
• Chiral symmetry breaking and the Lorentz nature of confinement
• Direct experimental test of scalar confinement
• Relativistic action at a distance and fields
• Universal light quark mass dependence and heavy-light meson spectroscopy
• Chiral symmetry and the properties of hadrons in the Generalised Nambu-Jona-Lasinio model
• Relativistic action-at-a-distance interactions: Lagrangian and Hamiltonian to terms of second order
• Tunneling dynamics of the relativistic Schrodinger/Salpeter equation
• Revivals and quantum carpets for the relativistic Schrödinger equation