Supersymmetric quasipotential equations

A supersymmetric extension of the Logunov–Tavkhelidze quasipotential approach is proposed. As in the ordinary case, the point of departure is the“supersYmmetric” Bethe–Salpeter equation. The transition from the four- to the two-time Green's function is made by equating to zero the relative times or the relative time variables on the light front in a fixed frame in superspace. The resolvent operator is found by means of the Majorana nature of the two-particle wave function. Three-dimensional two-particle supersymmetric equations in Cartesian coordinates and in coordinates on the light front are derived. These equations can be used to investigate bound states, and also processes at high energies in supersymmetric theories.