Geodesic
On the proof that the $S$ matrix is unitary
Teoretičeskaâ i matematičeskaâ fizika, Tome 25 (1975) no. 1, pp. 20-29 
G. V. Efimov. On the proof that the $S$ matrix is unitary. Teoretičeskaâ i matematičeskaâ fizika, Tome 25 (1975) no. 1, pp. 20-29. http://geodesic.mathdoc.fr/item/TMF_1975_25_1_a2/
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Voir la notice de l'article provenant de la source Math-Net.Ru

Formal proof of the unitarity of the $S$-matrix in the functional form is gilven. The following assertion is proved: if in the perturbation theory the intermediate regularisation is introduced by means of the propagators of vitrual particles and the finite limit when the regularisation is taken off, exists, then the limiting $S$-matrix is unitary.

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[2] D. A. Slavnov, Preprint IFVE, STF 73-81; Препринт ИФВЭ, СТФ 73-83; Препринт ИФВЭ, СТФ 73-84; Препринт ИФВЭ, СТФ 73-85, Серпухов, 1973 | Zbl

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[6] V. A. Alebastrov, G. V. Efimov, Preprint OIYaI R2-6888, Dubna, 1973 | MR | Zbl