Renormalization Group Functions of φ4 Theory from High-Temperature Expansions
Abstract
It has been previously shown that calculation of renormalization group (RG) functions of the scalar φ4 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 β(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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