Large-order aspects of the delta-expansion in low-dimensional Ising models
High Energy Physics - Lattice
2015-06-22 v2 Statistical Mechanics
High Energy Physics - Theory
Abstract
We investigate the large order aspects of the delta-expansion under the estimation procession of the critical quantities. As illustrative examples, we revisit one-dimensional Ising model for the analytic study and two-dimensional square Ising model in the high temperature phase for the numerical experiment to large orders. In both models, proposed fundamental base on which the estimation protocol should be constructed is investigated in details and confirmed to be valid. In the square lattice model, we present a new protocol for the estimation of critical exponents and temperature.
Keywords
Cite
@article{arxiv.1407.2100,
title = {Large-order aspects of the delta-expansion in low-dimensional Ising models},
author = {Hirofumi Yamada},
journal= {arXiv preprint arXiv:1407.2100},
year = {2015}
}
Comments
13 pages, 17 figures, figures are updated, english is improved, to be published in Phys. Rev. E