Geodesic
On the proof that the $S$ matrix is unitary
Teoretičeskaâ i matematičeskaâ fizika, Tome 25 (1975) no. 1, pp. 20-29

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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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     author = {G. V. Efimov},
     title = {On the proof that the $S$ matrix is unitary},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {20--29},
     publisher = {mathdoc},
     volume = {25},
     number = {1},
     year = {1975},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1975_25_1_a2/}
}
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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/