This article is cited in 36 papers

Methods of calculating many-loop diagrams and renormalization-group analysis of the $\varphi^4$ theory

A. A. Vladimirov


Abstract: 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.

Received: 29.12.1977

 English version: Theoretical and Mathematical Physics, 1978, 36:2, 732–737

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