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Gell-Mann-Low function in the ϕ4 theory

  • Fields, Particles, Nuclei
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Abstract

An algorithm is proposed for the determination of the asymptotics of a sum of a perturbation series from the given values of its coefficients in the strong-coupling limit. When applied to the ϕ4 theory, the algorithm yields the β(g)∝g α behavior with α≈1 at large g for the Gell-Mann-Low function.

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Authors and Affiliations

  1. Kapitza Institute for Physical Problems, Russian Academy of Sciences, ul. Kosygina 2, Moscow, 117973, Russia

    I. M. Suslov

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  1. I. M. Suslov
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Translated from Pis’ma v Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 71, No. 6, 2000, pp. 315–321.

Original Russian Text Copyright © 2000 by Suslov.

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Suslov, I.M. Gell-Mann-Low function in the ϕ4 theory. Jetp Lett. 71, 217–221 (2000). https://doi.org/10.1134/1.568319

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  • DOI: https://doi.org/10.1134/1.568319

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