Geodesic
Eralized Pauli–Villars regularization
Teoretičeskaâ i matematičeskaâ fizika, Tome 17 (1973) no. 3, pp. 342-358 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

A regularization procedure that generalizes pauli and Villars's is developed. The ordinary and chronological contractions of the free-field operators are represented as the weak limits of smooth functions. Because of the specially chosen limiting procedure it is possible to define products of both ordinary and chronological contractions as generalized functions without subtractions. 
@article{TMF_1973_17_3_a4,
     author = {D. A. Slavnov},
     title = {Eralized {Pauli{\textendash}Villars} regularization},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {342--358},
     year = {1973},
     volume = {17},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1973_17_3_a4/}
}
TY  - JOUR
AU  - D. A. Slavnov
TI  - Eralized Pauli–Villars regularization
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1973
SP  - 342
EP  - 358
VL  - 17
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1973_17_3_a4/
LA  - ru
ID  - TMF_1973_17_3_a4
ER  - 
%0 Journal Article
%A D. A. Slavnov
%T Eralized Pauli–Villars regularization
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1973
%P 342-358
%V 17
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1973_17_3_a4/
%G ru
%F TMF_1973_17_3_a4
D. A. Slavnov. Eralized Pauli–Villars regularization. Teoretičeskaâ i matematičeskaâ fizika, Tome 17 (1973) no. 3, pp. 342-358. http://geodesic.mathdoc.fr/item/TMF_1973_17_3_a4/

[1] F. J. Dyson, Phys. Rev., 75 (1949), 1736 ; Noveishee razvitie kvantovoi elektrodinamiki, Sb., IL, 1954, 205 | DOI | MR | Zbl

[2] A. Salam, Phys. Rev., 84 (1951), 426 | DOI | MR | Zbl

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

[4] O. S. Parasyuk, Ukr. matem. zh., 12 (1960), 237 | MR

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

[6] E. P. Speer, J. Math. Phys., 9 (1968), 1404 | DOI

[7] W. Pauli, F. Villars, Rev. Mod. Phys., 21 (1949), 434 ; Sdvigi urovnei atomnykh elektronov, Sb., IL, 1950, 139 | DOI | MR | Zbl

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

[9] O. S. Parasyuk, Izv. AN SSSR, matem. ser., 20 (1956), 843 | MR

[10] G. V. Efimov, Preprint ITF 68-54, Kiev, 1968

[11] D. A. Slavnov, TMF, 17 (1973), 000