Renormalization Group Functions of φ^4 Theory from High-Temperature Expansions

Details Renormalization Group Functions of φ^4 Theory from High-Temperature Expansions Renormalization Group Functions of φ^4 Theory from High-Temperature Expansions

2011-02-18

arxiv.org/abs/1102.3906v1

J.Exp.Theor.Phys.112:274-287,2011; Zh.Eksp.Teor.Fiz.139:319,2011

Physics

High Energy Physics

High Energy Physics - Phenomenology

Latex, 24 pages

Scientific paper

10.1134/S1063776110061184

It has been previously shown that calculation of renormalization group (RG) functions of the scalar \phi^4 theory reduces to the analysis of thermodynamic properties of the Ising model. Using high-temperature expansions for the latter, RG functions of four-dimensional theory can be calculated for arbitrary coupling constant g with an accuracy 10^{-4} for the Gell-Mann - Low function \beta(g) and an accuracy 10^{-3} - 10^{-2} for anomalous dimensions. Expansions of RG functions up to the 13th order in g^{-1/2} are obtained.

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