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VOLUME 106 (2017) | ISSUE 3 | PAGE 131
Problems with vector confinement in 4d QCD
DOI: 10.7868/S0370274X17150012
Abstract
It is shown that vector confinement does not support bound state spectrum in the 4d Dirac equation. The same property is confirmed in the heavy-light and light-light QCD systems. This situation is compared with the confinement in the 2d system, which is generated by the gluon exchange. Considering the existing theories of confinement, it is shown that both the field correlator approach and the dual superconductor model ensure the scalar confinement in contrast to the Gribov-Zwanziger model, where the confning Coulomb potential does not support bound states in the Dirac equation.