Geodesic
Renormalized feynman amplitudes for fields with fixed masses
Teoretičeskaâ i matematičeskaâ fizika, Tome 27 (1976) no. 1, pp. 24-37 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

One of the ways of regularizing causal functions in field theory is to add an imaginary quantity to the squares of the masses of the corresponding fields. We consider the question of the existence of a limit of the renormalized Feynman amplitudes on the transition to the true masses of the fields. Existence of this limit is proved both for theories with nonzero masses and for a large class of renormalized amplitudes in theories with zero masses. 
@article{TMF_1976_27_1_a2,
     author = {I. Yu. Chudinovich and V. A. Shcherbina},
     title = {Renormalized feynman amplitudes for fields with fixed masses},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {24--37},
     year = {1976},
     volume = {27},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1976_27_1_a2/}
}
TY  - JOUR
AU  - I. Yu. Chudinovich
AU  - V. A. Shcherbina
TI  - Renormalized feynman amplitudes for fields with fixed masses
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1976
SP  - 24
EP  - 37
VL  - 27
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1976_27_1_a2/
LA  - ru
ID  - TMF_1976_27_1_a2
ER  - 
%0 Journal Article
%A I. Yu. Chudinovich
%A V. A. Shcherbina
%T Renormalized feynman amplitudes for fields with fixed masses
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1976
%P 24-37
%V 27
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1976_27_1_a2/
%G ru
%F TMF_1976_27_1_a2
I. Yu. Chudinovich; V. A. Shcherbina. Renormalized feynman amplitudes for fields with fixed masses. Teoretičeskaâ i matematičeskaâ fizika, Tome 27 (1976) no. 1, pp. 24-37. http://geodesic.mathdoc.fr/item/TMF_1976_27_1_a2/

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

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

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

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

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

[6] K. Khepp, Teoriya perenormirovok, «Nauka», 1974 | MR

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

[8] V. D. Gordevskii, O. V. Uvarov, I. Yu. Chudinovich, V. A. Scherbina, TMF, 20 (1974), 147 | MR

[9] V. A. Scherbina, I. Yu. Chudinovich, Preprint ITF-74-151R, Kiev, 1974

[10] D. A. Slavnov, TMF, 22 (1975), 307 | MR | Zbl