On the proof that the $S$ matrix is unitary
Teoretičeskaâ i matematičeskaâ fizika, Tome 25 (1975) no. 1, pp. 20-29
Cet article a éte moissonné depuis 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.
@article{TMF_1975_25_1_a2,
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},
year = {1975},
volume = {25},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1975_25_1_a2/}
}
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/
[1] N. N. Bogolyubov, D. V. Shirkov, Vvedenie v teoriyu kvantovannykh polei, «Nauka», 1973 | MR | Zbl
[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
[3] A. N. Vasilev, Yu. M. Pismak, TMF, 15 (1973), 182
[4] N. A. Alebastrov, G. V. Efimov, Commun. Math. Phys., 31 (1973), 1 | DOI | MR | Zbl
[5] A. N. Akhiezer, V. B. Berestetskii, Kvantovaya elektrodinamika, «Nauka», 1969 | MR
[6] V. A. Alebastrov, G. V. Efimov, Preprint OIYaI R2-6888, Dubna, 1973 | MR | Zbl