Maxwell-Dirac chiral equations in (3+1)D exactly integrable

We study the integrability of the (3+1)-dimension chiral Maxwell-Dirac (Weyl) equations, in a formalism with local causality preservation. One characteristic of these formalisms is that even in (3+1)D we have a (3+1+D dynamic because there is no participation of the spatial coordinates orthogonal to the direction of the interaction(quantum exchange). The dynamic is conformal invariant and the equations became exactly integrable