Abstract
The pseudo-ε-expansions for the coordinate of the fixed point g *, the critical exponents, and the sextic effective coupling constant g 6 are determined for the two-dimensional Ising model on the basis of the five-loop renormalization group series. It is found that the pseudoe-expansions for the coordinate of the fixed point g *, the inverse exponent γ−1, and the constant g 6 possess a remarkable property, namely, the higher terms of these series are so small that reliable numerical results can be obtained without invoking Borel summation.
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Translated from Fizika Tverdogo Tela, Vol. 47, No. 11, 2005, pp. 2056–2059.
Original Russian Text Copyright © 2005 by Sokolov.
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Sokolov, A.I. Pseudo-ε-expansion and the two-dimensional Ising model. Phys. Solid State 47, 2144–2147 (2005). https://doi.org/10.1134/1.2131160
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DOI: https://doi.org/10.1134/1.2131160