Geodesic
On the asymptotic behavior of Feynman diagrams
Teoretičeskaâ i matematičeskaâ fizika, Tome 17 (1973) no. 2, pp. 169-177 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

A theorem generalizing Weinberg's theorem on the asymptotic behavior of Feynman diagrams is proved. In the theorem one considers not only the principal terms but also the subsequent terms of the asymptotic behavior. It is shown that when the momenta tend to infinity in the Euclidean domain the regularized matrix elements of the Feynman diagrams can be represented as polynomials in powers of the momenta and their logarithms, plus terms that decrease faster than any negative power of the momenta. 
@article{TMF_1973_17_2_a3,
     author = {D. A. Slavnov},
     title = {On the asymptotic behavior of {Feynman} diagrams},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {169--177},
     year = {1973},
     volume = {17},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1973_17_2_a3/}
}
TY  - JOUR
AU  - D. A. Slavnov
TI  - On the asymptotic behavior of Feynman diagrams
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1973
SP  - 169
EP  - 177
VL  - 17
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1973_17_2_a3/
LA  - ru
ID  - TMF_1973_17_2_a3
ER  - 
%0 Journal Article
%A D. A. Slavnov
%T On the asymptotic behavior of Feynman diagrams
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1973
%P 169-177
%V 17
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1973_17_2_a3/
%G ru
%F TMF_1973_17_2_a3
D. A. Slavnov. On the asymptotic behavior of Feynman diagrams. Teoretičeskaâ i matematičeskaâ fizika, Tome 17 (1973) no. 2, pp. 169-177. http://geodesic.mathdoc.fr/item/TMF_1973_17_2_a3/

[1] A. V. Efremov, O. I. Zavyalov, Trudy XII Mezhdunarodnoi konferentsii po fizike vysokikh energii, Dubna, 1964, 360; И. Ф. Гинзбург, А. В. Ефремов, В. Г. Сербо, ЯФ, 9 (1969), 451 | MR

[2] S. Weinberg, Phys. Rev., 113 (1960), 838 | DOI | MR

[3] J. P. Fink, J. Math. Phys., 9 (1968), 1389 | DOI | MR | Zbl

[4] J. Schwinger, Phys. Rev., 115 (1959), 72 | DOI | MR

[5] D. A. Slavnov, ZhETF, 42 (1962), 1543 | MR

[6] O. I. Zavyalov, Doklad na Vsesoyuznom soveschanii po aksiomaticheskim metodam v kvantovoi teorii polya, Tashkent, 1972