vector $q\bar{q}$ bound state. One can conclude from (\[WTI\]) and (\[pole\]) that the on-mass-shell solution of the homogeneous equation satisfies $q_{\mu }\Omega _{\mu
}(P,q)=0$, provided the self-energy functions are nonsingular. The Bethe-Salpeter equation at this level has been investigated previously, and acceptable results have been obtained for the lowest mass bound states[@CRP87; @PCR89; @aoki91; @MJ92]. It is therefore anticipated that, in the addition to providing an EM gauge invariant description of the quark-photon interaction for use in electron scattering, this level of approximation has the ability to describe the spectrum and structure of vector bound states.

Finally, the Schwinger-Dyson equation (\[SDE\]) has been extensively studied with regard to confinement phenomenology and dynamical chiral symmetry breaking[@conchi]. It has been demonstrated, for example, that for a suitably chosen gluon two-point function $D$, quark Green’s functions which are free of singularities on the real $P^2$ axis are produced; therefore denying the existence of a single-particle spectrum. It is shown here, however, that this is not a sufficient condition for the formation of finite-size $q\bar{q}$ states, but is an essential ingredient in a description of confinement based on an interaction between dressed quarks which does not rise to infinity at large distances. This alternate 