Solutions of the Bethe-Salpeter equation in Minkowski space and applications to electromagnetic form factors

摘要

We present a new method for solving the two-body Bethe-Salpeter equation inMinkowski space. It is based on the Nakanishi integral representation of theBethe-Salpeter amplitude and on subsequent projection of the equation on thelight-front plane. The method is valid for any kernel given by the irreducibleFeynman graphs and for systems of spinless particles or fermions. TheBethe-Salpeter amplitudes in Minkowski space are obtained. The electromagneticform factors are computed and compared to the Euclidean results.