Natural quark field confinement

Abstract

An infinite-component free spinor field carrying self-compounds lying on a Regge trajectory has been suggested as a natural, general representation of a strongly interacting quark field. In this picture a quark of a particular flavour is a basically composite object which shows confinement as a collective effect. Due to the instability of the self-compounds, a given hadron is constituted from the integration over a given natural line width section of the complete field, one section for each contributing quark. The integrated collective effect is shown to have the natural nuclear domain size or wave packet through interference for each contributing quark field. The restriction of the transverse quark momenta derives from the same origin. The particular representation of the quark field may readily be used in, for example, nonperturbative calculations of the quark field as a solution of a nonlinear field equation of motion, and in the discussion of hadron propagators compounded from the quark fields.