Solving Bethe-Salpeter equation for two fermions in Minkowski space

Understand

The method of solving the Bethe-Salpeter equation in Minkowski space, which we developed previously for spinless particles, is extended to a system of two fermions.

• The method is based on the Nakanishi integral representation of the amplitude and on projecting the equation on the light-front plane.
• The singularities in the projected two-fermion kernel are regularized without modifying the original Bethe-Salpeter amplitudes.
• The numerical solutions for the J=0 bound state with the scalar, pseudoscalar and massless vector exchange kernels are found.