J. Mourad et H. Sazdjian, HOW TO OBTAIN A COVARIANT BREIT TYPE EQUATION FROM RELATIVISTIC CONSTRAINT THEORY, Journal of physics. G, Nuclear and particle physics, 21(3), 1995, pp. 267-279
It is shown that, by an appropriate modification of the structure of t
he interaction potential, the Breit equation can be incorporated into
a set of two compatible manifestly covariant wave equations, derived f
rom the general rules of constraint theory. The complementary equation
to the covariant Breit type equation determines the evolution law in
the relative time variable. The interaction potential can be systemati
cally calculated in perturbation theory from Feynman diagrams. The nor
malization condition of the Breit wavefunction is determined. The wave
equation is reduced, for general classes of potential, to a single Pa
uli-Schrodinger-type equation. As an application of the covariant Brei
t type equation, we exhibit massless pseudoscalar bound-state solution
s, corresponding to a particular class of confining potentials.