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Reviews of topical problems


The renormalization group and ultraviolet asymptotics

,  a
a Joint Institute for Nuclear Research, 6 Joliot-Curie Str., Dubna, Moscow Region, 141980, Russian Federation

This article describes in detail the method of the renormalization group and outlines the possibilities of using it for the analysis of high-energy asymptotics in the framework of quantum field theory. The renormalization group formalism is constructed for an arbitrary scheme of renormalization. The exposition is based on the concepts of effective charge and effective mass. Principal attention is given to the problem of deriving reliable information about the ultraviolet properties of quantized-field models on the basis of perturbation theory calculations. A summary of the results of such calculations for a wide variety of models is given.

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Fulltext is also available at DOI: 10.1070/PU1979v022n11ABEH005644
PACS: 11.10.Gh, 11.10.Jj (all)
DOI: 10.1070/PU1979v022n11ABEH005644
URL: https://ufn.ru/en/articles/1979/11/b/
Citation: Vladimirov A A, Shirkov D V "The renormalization group and ultraviolet asymptotics" Sov. Phys. Usp. 22 860–878 (1979)
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Оригинал: Владимиров А А, Ширков Д В «Ренормализационная группа и ультрафиолетовые асимптотики» УФН 129 407–441 (1979); DOI: 10.3367/UFNr.0129.197911b.0407

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