NAKANISHI REPRESENTATION ONTO THE NULL PLANE AND THE SOLUTION OF THE BETHE-SALPETER EQUATION

摘要

The Nakanishi perturbative integral representation of the 4D Bethe-Salpeter amplitude is used to solve the bound state problem in the Min-kowski space. The main step to derive workable equations for Nakanishi weight function is provided by the projection onto the null-plane of the 4D Bethe-Salpeter Equation. We present a homogeneous equation for the Nakanishi weight-function for the ladder approximation of a bosonic model obtained by using uniqueness of the Nakanishi weight function. We provide numerical results and compare with another solution method.