Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-10-03
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.
Boguszynski J.
Dahmen Hans D.
Kretschmer Ralph
Lukaszuk Leszek
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