Geodesic
Singularities of feynman amplitudes in the momentum space
Teoretičeskaâ i matematičeskaâ fizika, Tome 47 (1981) no. 1, pp. 140-143
Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

Restrictions on the wave front of Feynman amplitudes in the momentum space are proved. It is established that the amplitude $F_\Gamma(q_1,\dots,q_k)$ corresponding to massless diagrams $\Gamma$ with two or three external lines are infinitely differentiable functions for $q_i^2\ne0$ ($i=1,2$ or $i=1,2,3$). 
@article{TMF_1981_47_1_a11,
     author = {V. A. Smirnov},
     title = {Singularities of feynman amplitudes in the momentum space},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {140--143},
     year = {1981},
     volume = {47},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1981_47_1_a11/}
}
TY  - JOUR
AU  - V. A. Smirnov
TI  - Singularities of feynman amplitudes in the momentum space
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1981
SP  - 140
EP  - 143
VL  - 47
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1981_47_1_a11/
LA  - ru
ID  - TMF_1981_47_1_a11
ER  - 
%0 Journal Article
%A V. A. Smirnov
%T Singularities of feynman amplitudes in the momentum space
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1981
%P 140-143
%V 47
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1981_47_1_a11/
%G ru
%F TMF_1981_47_1_a11
V. A. Smirnov. Singularities of feynman amplitudes in the momentum space. Teoretičeskaâ i matematičeskaâ fizika, Tome 47 (1981) no. 1, pp. 140-143. http://geodesic.mathdoc.fr/item/TMF_1981_47_1_a11/

[1] Kashiwara M., Kawai T., “Holonomic systems of linear differential equations and Feynman integrals”, Publ. RIMS Kyoto Univ., Suppl., 22 (1977), 131 ; Kashiwara M., Kawai T., Stapp H., “Microanalitic structure of the $S$-matrix and related functions”, Ibid., 141 ; Sato M., Miwa T., Jimbo M., Oshima T., “Holonomic structure of Landau singularities and Feynman integrals”, Ibid., 387 | MR | Zbl | MR | Zbl

[2] Hörmander L., “Fourier integral operators, I”, Acta. Math., 127 (1971), 79 ; Рид М., Саймон Б., Методы современной математической физики, т. 2, Мир, М., 1978 | DOI | MR | Zbl | MR

[3] Smirnov V. A., “Infrakrasnye i ultrafioletovye raskhodimosti koeffitsientnykh funktsii feinmanovskikh diagramm kak funktsionalov iz $S'$”, TMF, 44:3 (1980), 307 | MR

[4] Bogolyubov N. N., Shirkov D. V., Vvedenie v teoriyu kvantovannykh polei, Nauka, M., 1976 | MR

[5] Smirnov V. A., “Singulyarnosti feinmanovskikh diagramm v koordinatnom prostranstve i $\alpha$-predstavlenie”, TMF, 46:1 (1981), 27 | MR

[6] Smirnov V. A., “O singulyarnoi strukture feinmanovskikh diagramm”, TMF, 41:3 (1979), 330 | MR