Renormalized sextic coupling constant for the two-dimensional Ising model from field theory
Statistical Mechanics
2009-10-31 v4 High Energy Physics - Lattice
High Energy Physics - Phenomenology
High Energy Physics - Theory
Abstract
The field-theoretical renormalization group approach is used to estimate the universal critical value g_6^* of renormalized sextic coupling constant for the two-dimensional Ising model. Four-loop perturbative expansion for g_6 is calculated and resummed by means of the Pade-Borel-Leroy technique. Under the optimal value of the shift parameter b providing the fastest convergence of the iteration procedure the estimates g_6^* = 1.10, g_6^*/{g_4^*}^2 = 2.94 are obtained which agree quite well with those deduced recently by S.-Y. Zinn, S.-N. Lai, and M. E. Fisher (Phys. Rev. E 54 (1996) 1176) from the high-temperature expansions.
Cite
@article{arxiv.cond-mat/9804008,
title = {Renormalized sextic coupling constant for the two-dimensional Ising model from field theory},
author = {A. I. Sokolov and E. V. Orlov},
journal= {arXiv preprint arXiv:cond-mat/9804008},
year = {2009}
}
Comments
8 pages, LaTeX, no figures, published version