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Pseudo-ε-expansion and the two-dimensional Ising model. / Sokolov, A. I.

In: Physics of the Solid State, Vol. 47, No. 11, 2005, p. 2144-2147.

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Sokolov, AI 2005, 'Pseudo-ε-expansion and the two-dimensional Ising model', Physics of the Solid State, vol. 47, no. 11, pp. 2144-2147. https://doi.org/10.1134/1.2131160

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Sokolov, A. I. / Pseudo-ε-expansion and the two-dimensional Ising model. In: Physics of the Solid State. 2005 ; Vol. 47, No. 11. pp. 2144-2147.

BibTeX

@article{237cddaf6a2e4a2599a8cad1a69ec7aa,
title = "Pseudo-ε-expansion and the two-dimensional Ising model",
abstract = "The pseudo-ε-expansions for the coordinate of the fixed point g*, the critical exponents, and the sextic effective coupling constant g6 are determined for the two-dimensional Ising model on the basis of the five-loop renormalization group series. It is found that the pseudo-ε-expansions for the coordinate of the fixed point g*, the inverse exponent γ-1, and the constant g6 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.",
author = "Sokolov, {A. I.}",
year = "2005",
doi = "10.1134/1.2131160",
language = "English",
volume = "47",
pages = "2144--2147",
journal = "Physics of the Solid State",
issn = "1063-7834",
publisher = "МАИК {"}Наука/Интерпериодика{"}",
number = "11",

}

RIS

TY - JOUR

T1 - Pseudo-ε-expansion and the two-dimensional Ising model

AU - Sokolov, A. I.

PY - 2005

Y1 - 2005

N2 - The pseudo-ε-expansions for the coordinate of the fixed point g*, the critical exponents, and the sextic effective coupling constant g6 are determined for the two-dimensional Ising model on the basis of the five-loop renormalization group series. It is found that the pseudo-ε-expansions for the coordinate of the fixed point g*, the inverse exponent γ-1, and the constant g6 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.

AB - The pseudo-ε-expansions for the coordinate of the fixed point g*, the critical exponents, and the sextic effective coupling constant g6 are determined for the two-dimensional Ising model on the basis of the five-loop renormalization group series. It is found that the pseudo-ε-expansions for the coordinate of the fixed point g*, the inverse exponent γ-1, and the constant g6 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.

UR - http://www.scopus.com/inward/record.url?scp=27844609806&partnerID=8YFLogxK

U2 - 10.1134/1.2131160

DO - 10.1134/1.2131160

M3 - Article

AN - SCOPUS:27844609806

VL - 47

SP - 2144

EP - 2147

JO - Physics of the Solid State

JF - Physics of the Solid State

SN - 1063-7834

IS - 11

ER -

ID: 36749177