Gell-Mann - Low Function in the Phi^4 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 Φ^4 theory, the algorithm yields the β(g)\propto g^αbehavior with α\approx 1 at large g for the Gell-Mann - Low function.

5 pages, PDF

References in corpus (1)

• Development of (4-epsilon)-dimensional theory for the density of states near the Anderson transition

Cited by in corpus (2)

• Weak-Coupling, Strong-Coupling and Large-Order Parametrization of the Hypergeometric-Meijer Approximants
• Interplay Between Approximation Theory and Renormalization Group