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

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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5 pages, PDF

Scientific paper

10.1134/1.568319

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.

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