This article is cited in 1 paper

Bogolyubov's $R$-operation for local interactions

V. D. Gordevskii, O. V. Uvarov, I. Yu. Chudinovich, V. A. Shcherbina


Abstract: Parametric representations are constructed for the finite parts of Feynman amplitudes corresponding to the renormalized perturbation series for the $S$-matrix with a special regularization. These representations are obtained as limiting values for the Feynman amplitudes in spaces with indefinite metric, which enables one to verify unitarity and causality of the $S$-matrix in all perturbation orders.

Received: 17.05.1973

 English version: Theoretical and Mathematical Physics, 1974, 20:2, 729–737

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