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arXiv:hep-ph/0006066·v1·High Energy Physics — Phenomenology

Gell-Mann - Low Function in the Phi^4 Theory

I. M. Suslov (P.L.Kapitza Institute for Physical Problems, Russia)🇷🇺

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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 \Phi^4 theory, the algorithm yields the \beta(g)\propto g^\alpha behavior with \alpha\approx 1 at large g for the Gell-Mann - Low function.

Comments: 5 pages, PDF

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