Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1997-01-06
Phys.Rev.D55:6299-6312,1997
Physics
High Energy Physics
High Energy Physics - Theory
25 pages, RevTex, 14 ps-figures, needed macro: psbox.tex
Scientific paper
10.1103/PhysRevD.55.6299
We derive the (matrix-valued) Feynman rules of the mass perturbation theory and use it for the resummation of the $n$-point functions with the help of the Dyson-Schwinger equations. We use these results for a short review of the complete spectrum of the model and for a discussion of scattering processes. We find that in scattering cross sections all the resonances and higher particle production thresholds of the model are properly taken into account by our resummed mass perturbation theory, without the need of further approximations.
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