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.
Physics Letters B
- Pub Date:
- February 1997
- High Energy Physics - Phenomenology;
- High Energy Physics - Lattice
- 11 pages, LaTex, elsevier.sty, 2 figures included, minor changes, one reference added, to appear in Phys. Lett. B