Renormalization Group Functions of \phi^4 Theory from High-Temperature Expansions
High Energy Physics - Phenomenology
2011-03-28 v1 Statistical Mechanics
High Energy Physics - Lattice
High Energy Physics - Theory
Mathematical Physics
math.MP
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.
Cite
@article{arxiv.1102.3906,
title = {Renormalization Group Functions of \phi^4 Theory from High-Temperature Expansions},
author = {I. M. Suslov},
journal= {arXiv preprint arXiv:1102.3906},
year = {2011}
}
Comments
Latex, 24 pages