Geodesic
Calculation of many-loop diagrams of perturbation theory
Teoretičeskaâ i matematičeskaâ fizika, Tome 54 (1983) no. 1, pp. 124-129

Voir la notice de l'article provenant de la source Math-Net.Ru

Some identities are formulated for semi-unique vertices and semi-unique triangles that occur in the diagrams of perturbation theory with massless scalar particles. The use of these identities makes it possible to develop a reduction scheme by means of which the result can be obtained for many-loop diagrams without expansion in infinite series in Gegenbauer polynomials and without the use of the operation of differentiation, which leads to additional kinematic complications. As a result, the calculation of many-loop diagrams of the perturbation theory is significantly simplified. 
@article{TMF_1983_54_1_a10,
     author = {N. I. Usyukina},
     title = {Calculation of many-loop diagrams of perturbation theory},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {124--129},
     publisher = {mathdoc},
     volume = {54},
     number = {1},
     year = {1983},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1983_54_1_a10/}
}
TY  - JOUR
AU  - N. I. Usyukina
TI  - Calculation of many-loop diagrams of perturbation theory
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1983
SP  - 124
EP  - 129
VL  - 54
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_1983_54_1_a10/
LA  - ru
ID  - TMF_1983_54_1_a10
ER  - 
%0 Journal Article
%A N. I. Usyukina
%T Calculation of many-loop diagrams of perturbation theory
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1983
%P 124-129
%V 54
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_1983_54_1_a10/
%G ru
%F TMF_1983_54_1_a10
N. I. Usyukina. Calculation of many-loop diagrams of perturbation theory. Teoretičeskaâ i matematičeskaâ fizika, Tome 54 (1983) no. 1, pp. 124-129. http://geodesic.mathdoc.fr/item/TMF_1983_54_1_a10/