5-LOOP ROOT-EPSILON-EXPANSIONS FOR RANDOM ISING-MODEL AND MARGINAL SPIN DIMENSIONALITY FOR CUBIC SYSTEMS

Citation
Bn. Shalaev et al., 5-LOOP ROOT-EPSILON-EXPANSIONS FOR RANDOM ISING-MODEL AND MARGINAL SPIN DIMENSIONALITY FOR CUBIC SYSTEMS, Physics letters. A, 230(1-2), 1997, pp. 105-110
Citations number
21
Categorie Soggetti
Physics
Journal title
ISSN journal
03759601
Volume
230
Issue
1-2
Year of publication
1997
Pages
105 - 110
Database
ISI
SICI code
0375-9601(1997)230:1-2<105:5RFRIA>2.0.ZU;2-B
Abstract
The root epsilon-expansions for critical exponents of the weakly disor dered Ising model are calculated up to the five-loop order and found t o possess coefficients with irregular signs and values. The estimate n (c) = 2.855 for the marginal spin dimensionality of the cubic model is obtained by the Pade-Borel resummation of the corresponding five-loop epsilon-expansion. (C) 1997 Published by Elsevier Science B.V.