Multi-channel Bethe-Salpeter equation

Details Multi-channel Bethe-Salpeter equation Multi-channel Bethe-Salpeter equation

1999-10-03

arxiv.org/abs/hep-th/9910024v2

JHEP 0011:002,2000

Physics

High Energy Physics

High Energy Physics - Theory

16 pages. Extended version published in JHEP. Uses JHEP.cls (included)

Scientific paper

10.1088/1126-6708/2000/11/002

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.

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