Five-loop renormalization-group expansions for the three-dimensional n-vector cubic model and critical exponents for impure Ising systems
Statistical Mechanics
2008-11-26 v3 High Energy Physics - Lattice
High Energy Physics - Phenomenology
High Energy Physics - Theory
Abstract
The renormalization-group (RG) functions for the three-dimensional n-vector cubic model are calculated in the five-loop approximation. High-precision numerical estimates for the asymptotic critical exponents of the three-dimensional impure Ising systems are extracted from the five-loop RG series by means of the Pade-Borel-Leroy resummation under n = 0. These exponents are found to be: \gamma = 1.325 +/- 0.003, \eta = 0.025 +/- 0.01, \nu = 0.671 +/- 0.005, \alpha = - 0.0125 +/- 0.008, \beta = 0.344 +/- 0.006. For the correction-to-scaling exponent, the less accurate estimate \omega = 0.32 +/- 0.06 is obtained.
Cite
@article{arxiv.cond-mat/9912071,
title = {Five-loop renormalization-group expansions for the three-dimensional n-vector cubic model and critical exponents for impure Ising systems},
author = {D. V. Pakhnin and A. I. Sokolov},
journal= {arXiv preprint arXiv:cond-mat/9912071},
year = {2008}
}
Comments
11 pages, LaTeX, no figures, published version