Bogolyubov's $R$-operation for local interactions
Teoretičeskaâ i matematičeskaâ fizika, Tome 20 (1974) no. 2, pp. 147-159 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

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.
@article{TMF_1974_20_2_a0,
     author = {V. D. Gordevskii and O. V. Uvarov and I. Yu. Chudinovich and V. A. Shcherbina},
     title = {Bogolyubov's $R$-operation for local interactions},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {147--159},
     year = {1974},
     volume = {20},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1974_20_2_a0/}
}
TY  - JOUR
AU  - V. D. Gordevskii
AU  - O. V. Uvarov
AU  - I. Yu. Chudinovich
AU  - V. A. Shcherbina
TI  - Bogolyubov's $R$-operation for local interactions
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1974
SP  - 147
EP  - 159
VL  - 20
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1974_20_2_a0/
LA  - ru
ID  - TMF_1974_20_2_a0
ER  - 
%0 Journal Article
%A V. D. Gordevskii
%A O. V. Uvarov
%A I. Yu. Chudinovich
%A V. A. Shcherbina
%T Bogolyubov's $R$-operation for local interactions
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1974
%P 147-159
%V 20
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1974_20_2_a0/
%G ru
%F TMF_1974_20_2_a0
V. D. Gordevskii; O. V. Uvarov; I. Yu. Chudinovich; V. A. Shcherbina. Bogolyubov's $R$-operation for local interactions. Teoretičeskaâ i matematičeskaâ fizika, Tome 20 (1974) no. 2, pp. 147-159. http://geodesic.mathdoc.fr/item/TMF_1974_20_2_a0/

[1] N. N. Bogolyubov, Izv. AN SSSR, ser. fiz., 19 (1955), 237 | Zbl

[2] N. N. Bogolyubov, D. V. Shirkov, UFN, 55 (1955), 149 | DOI

[3] N. N. Bogolyubov, O. S. Parasyuk, Izv. AN SSSR, ser. matem., 20 (1956), 585 | MR | Zbl

[4] O. S. Parasyuk, UMZh, 12 (1960), 10

[5] V. A. Scherbina, “O vychitatelnom formalizme v kvantovoi teorii polya”, 38-64, Katalog deponirovannykh rabot, Izd-vo VINITI, 1964 | MR

[6] K. Hepp, Commun. Math. Phys., 2 (1966), 301 | DOI | Zbl

[7] V. A. Scherbina, Preprint ITF-69-36, Kiev, 1969

[8] H. Epstein, V. Glaser, Preprint TH 1156-CERN, Geneva, 1970

[9] V. A. Scherbina, Dissertatsiya, In-t matematiki AN USSR, 1963

[10] H. Epstein, V. Glaser, Preprint TH 1244-CERN, Geneva, 1971

[11] O. I. Zavyalov, B. M. Stepanov, YaF, 1 (1965), 922

[12] N. N. Bogolyubov, D. V. Shirkov, Vvedenie v teoriyu kvantovannykh polei, GITTL, 1957 | MR

[13] V. A. Scherbina, TMF, 14 (1973), 342

[14] V. A. Scherbina, Teoriya funktsii, funktsionalnyi analiz i ikh prilozheniya, Sb., no. 8, Izd-vo KhGU, Kharkov, 1969