Five-loop \sqrt\epsilon-expansions for random Ising model and marginal spin dimensionality for cubic systems
Statistical Mechanics
2009-10-31 v1 High Energy Physics - Lattice
High Energy Physics - Phenomenology
High Energy Physics - Theory
Abstract
The \sqrt\epsilon-expansions for critical exponents of the weakly-disordered Ising model are calculated up to the five-loop order and found to 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 corresponding five-loop \epsilon-expansion.
Cite
@article{arxiv.cond-mat/9803388,
title = {Five-loop \sqrt\epsilon-expansions for random Ising model and marginal spin dimensionality for cubic systems},
author = {B. N. Shalaev and S. A. Antonenko and A. I. Sokolov},
journal= {arXiv preprint arXiv:cond-mat/9803388},
year = {2009}
}
Comments
9 pages, TeX, no figures