Gell-Mann - Low Function in the Phi4 Theory
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 4 theory, the algorithm yields the β(g) gα behavior with α≈ 1 at large g for the Gell-Mann - Low function.
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