Geodesic
Calculation of many-loop diagrams of perturbation theory
Teoretičeskaâ i matematičeskaâ fizika, Tome 54 (1983) no. 1, pp. 124-129 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     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},
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     url = {http://geodesic.mathdoc.fr/item/TMF_1983_54_1_a10/}
}
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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/

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