Renormalization group functions of the {phi}{sup 4} theory from high-temperature expansions
Journal Article
·
· Journal of Experimental and Theoretical Physics
- Russian Academy of Sciences, Kapitza Institute for Physical Problems (Russian Federation)
It has been previously shown that calculation of the renormalization group (RG) functions of scalar {phi}{sup 4} theory reduces to analysis of thermodynamic properties of the Ising model. Using high-temperature expansions for the latter, RG functions of the four-dimensional theory can be calculated for arbitrary coupling constant g with an accuracy of 10{sup -4} for the Gell-Mann-Low function {beta}(g) and with an accuracy of 10{sup -3}-10{sup -2} for anomalous dimensions. The expansions of the renormalization group functions up to the 13th order in g{sup -1/2} have been obtained.
- OSTI ID:
- 22028150
- Journal Information:
- Journal of Experimental and Theoretical Physics, Vol. 112, Issue 2; Other Information: Copyright (c) 2011 Pleiades Publishing, Ltd.; Country of input: International Atomic Energy Agency (IAEA); ISSN 1063-7761
- Country of Publication:
- United States
- Language:
- English
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