Solving Bethe-Salpeter scattering state equation in Minkowski space

Abstract

We present a method to directly solving the Bethe-Salpeter equation in Minkowski space, both for bound and scattering states. It is based on a proper treatment of the singularities which appear in the kernel, propagators and Bethe-Salpeter amplitude itself. The off-mass shell scattering amplitude for spinless particles interacting by a one boson exchange is computed for the first time.

Comments: 24 pages, 12 figures, to be published in Phys. Rev. D