  Starting from the relativistic gauge-invariant quark-antiquark Green function
we obtain the relevant interaction in the one-body limit, which can be
interpreted as the kernel of a non-perturbative Dirac equation. We study this
kernel in different kinematic regions, reproducing, in particular, for heavy
quark the potential case and sum rules results. We discuss the relevance of the
result for heavy-light mesons and the relation with the phenomenological Dirac
equations used up to now in the literature.
