Geodesic
Methods of calculating many-loop diagrams and renormalization-group analysis of the $\varphi^4$ theory
Teoretičeskaâ i matematičeskaâ fizika, Tome 36 (1978) no. 2, pp. 271-278 
A. A. Vladimirov. Methods of calculating many-loop diagrams and renormalization-group analysis of the $\varphi^4$ theory. Teoretičeskaâ i matematičeskaâ fizika, Tome 36 (1978) no. 2, pp. 271-278. http://geodesic.mathdoc.fr/item/TMF_1978_36_2_a10/
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     title = {Methods of calculating many-loop diagrams and renormalization-group analysis of the~$\varphi^4$ theory},
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Voir la notice de l'article provenant de la source Math-Net.Ru

An effective technique is developed for calculating the renormalization-group parameters; this makes it possible to set all external momenta equal to zero in the calculation of diagrams. Three- and four-loop calculations of the Gell-Mann–Low function of the $\varphi^4$ theory are made in different renormalization schemes. The dependence of this function on the particular choice of fixed ratios of the momentum arguments of the invariant charge is investigated.

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