Research output: Contribution to journal › Article › peer-review
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.Research output: Contribution to journal › Article › peer-review
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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