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PERTURBATION THEORY OF PION-PION INTERACTION. I. RENORMALIZATION
HARVARD UNIV CAMBRIDGE MASS CRUFT LAB
The problem of the pion-pion scattering is studied on the basis of the model of a fourparticle direct interaction without derivati e coupling. Renormalization is carried out for this model with a detailed analysis of overlap insertions. To every finite order in the renormalized coupling constant, it is shown that the unitarity relation holds and that the Feynman integral representation is still valid, and hence renormalization has no effect on analytic properties. Author