From scalar to string confinement

Abstract

We outline a connection between scalar quark confinement, a phenomenologically successful concept heretofore lacking fundamental justification, and QCD. Although scalar confinement does not follow from QCD, there is an interesting and close relationship between them. We develop a simple model intermediate between scalar confinement and the QCD string for illustrative purposes. Finally, we find the bound state masses of scalar, time-component vector, and string confinement analytically through semi-classical quantization.

ReVTeX, 9 pages, 5 figures

References in corpus (4)

• Rotating QCD string and the meson spectrum
• A lattice potential investigation of quark mass and volume dependence of the ${\rm Y}$ spectrum
• The minimum area, the flux tube, and Thomas precession
• The Impact of NLO-Corrections on the Determination of the $\bar{u},\bar{d} Content of Nucleons from Drell-Yan Production

Cited by in corpus (10)

• Assignments of ${\Lambda }_Q$ and ${\Xi }_Q$ baryons in the heavy quark-light diquark picture
• QCD string in light-light and heavy-light mesons
• Confinement, quark mass functions, and spontaneous chiral symmetry breaking in Minkowski space
• Analytic Quantization of the QCD String
• Chiral Symmetry Breaking with Scalar Confinement
• Confinement of fermions in tachyon matter
• Quark models: What can they teach us?
• Quark mass functions and pion structure in Minkowski space
• QCD String Structure in Vector Confinement
• Quark model with chiral-symmetry breaking and confinement in the Covariant Spectator Theory