Multi-channel Bethe-Salpeter equation
Abstract
A general form of multi-channel Bethe-Salpeter equation is considered. In contradistinction to the hitherto applied approaches, our coupled system of equations leads to the simultaneous solutions for all relativistic four-point Green functions (elastic and inelastic) appearing in a given theory. A set of relations which may be helpful in approximate treatments is given. An example of extracting useful information from the equations is discussed: we consider the most general trilinear coupling of N different scalar fields and obtain - in the ladder approximation - closed expressions for the Regge trajectories and their couplings to different channels in the vicinity of l = -1. Sum rules and an example containing non-obvious symmetry are discussed.
Cite
@article{arxiv.hep-th/9910024,
title = {Multi-channel Bethe-Salpeter equation},
author = {J. Boguszynski and H. D. Dahmen and R. Kretschmer and L. Lukaszuk},
journal= {arXiv preprint arXiv:hep-th/9910024},
year = {2010}
}
Comments
16 pages. Extended version published in JHEP. Uses JHEP.cls (included)