Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2007-11-06
Zh.Eksp.Teor.Fiz., v.132, p.406 (2007) [JETP, v.105, p.360 (2007)]
Physics
Condensed Matter
Statistical Mechanics
PDF, 11 pages
Scientific paper
10.1134/S1063776107080080
According to the available publications, the field theoretical renormalization group (RG) approach in the two-dimensional case gives the critical exponents that differ from the known exact values. This fact was attempted to explain by the existence of nonanalytic contributions in the RG functions. The situation is analysed in this work using a new algorithm for summing divergent series that makes it possible to analyse dependence of the results for the critical exponents on the expansion coefficients for RG functions. It has been shown that the exact values of all the exponents can be obtained with a reasonable form of the coefficient functions. These functions have small nonmonotonities or inflections, which are poorly reproduced in natural interpolations. It is not necessary to assume the existence of singular contributions in RG functions.
Pogorelov A. A.
Suslov Igor M.
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