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arXiv · 1102.3906

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

I. M. Suslov
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Abstract

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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I. M. Suslov. 2011-02-18. Renormalization Group Functions of \phi^4 Theory from High-Temperature Expansions. https://doi.org/10.1134/s1063776110061184

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