Teoretičeskaâ i matematičeskaâ fizika, Tome 54 (1983) no. 1, pp. 124-129
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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/
@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},
year = {1983},
volume = {54},
number = {1},
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
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
%U http://geodesic.mathdoc.fr/item/TMF_1983_54_1_a10/
%G ru
%F TMF_1983_54_1_a10
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.
