Regge trajectories in the framework of the relativistic action-at-a-distance theory

Abstract

A relativistic quark model of mesons formulated within the formalism of Fokker-type action integrals is proposed, in which an interquark interaction is mediated by a massless vector field and scalar-vector superposition of higher derivative fields. In the non-relativistic limit the model describes a two-particle system with the Cornell potential. In order to analyze the model in the essentially relativistic domain the perturbed circular orbit approximation is applied which permits one to perform the canonical quantization of the model. It is shown that the model reproduces well specific features of the light meson spectroscopy.