Test of Guttmann and Enting's conjecture in the eight-vertex model
Condensed Matter
2009-10-30 v1
Abstract
We investigate the analyticity property of the partially resummed series expansion(PRSE) of the partition function for the eight-vertex model. Developing a graphical technique, we have obtained a first few terms of the PRSE and found that these terms have a pole only at one point in the complex plane of the coupling constant. This result supports the conjecture proposed by Guttmann and Enting concerning the ``solvability'' in statistical mechanical lattice models.
Keywords
Cite
@article{arxiv.cond-mat/9710106,
title = {Test of Guttmann and Enting's conjecture in the eight-vertex model},
author = {Hiroshi Tsukahara and Takeo Inami},
journal= {arXiv preprint arXiv:cond-mat/9710106},
year = {2009}
}
Comments
15 pages, 3 figures, RevTeX