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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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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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     author = {A. A. Vladimirov},
     title = {Methods of calculating many-loop diagrams and renormalization-group analysis of the~$\varphi^4$ theory},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {271--278},
     year = {1978},
     volume = {36},
     number = {2},
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     url = {http://geodesic.mathdoc.fr/item/TMF_1978_36_2_a10/}
}
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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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