Investigating the homogeneous Bethe-Salpeter equation in Minkowski space

14th Conference on Theoretical Nuclear Physics in Italy

Salmè, Giovanni^1

Istituto Nazionale di Fisica Nucleare, Sezione di Roma, P.le A. Moro 2, I-00185, Rome, Italy^1

关键词: Bethe-Salpeter equation;    Integral representation;    Interacting system;    Ladder approximation;    Minkowski space;    Numerical results;    Perturbation theory;    Transition amplitudes;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/527/1/012026/pdf
DOI  :  10.1088/1742-6596/527/1/012026

来源: IOP

【 摘 要 】

A short review of a novel approach, based on the Nakanishi perturbation-theory integral representation and devised for solving the Bethe-Salpeter equation directly in Minkowski space, is presented. The two ingredients for constructing such a new tool are: i) the Nakanishi perturbation-theory integral representations of the V-leg transition amplitudes and ii) the Light- front framework, that also allows one to gain insights into the Fock content of the states of an interacting system. Numerical results, corresponding to the Bethe-Salpeter equation in ladder approximation, for a simple system, composed by two massive scalars interacting through the exchange of a massive scalar, are provided for illustrating the effectiveness of the approach.