Test of Guttmann and Enting's conjecture in the eight-vertex model

被引：3

作者：

Tsukahara, H ^{[1
]}

Inami, T ^{[1
]}

机构：

[1] Chuo Univ, Dept Phys, Bunkyo Ku, Tokyo 1128551, Japan

来源：

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN | 1998年 / 67卷 / 04期

关键词：

inversion relation; series expansion; eight-vertex model;

D O I：

10.1143/JPSJ.67.1067

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We investigate the analyticity property of the partially resummed series expansion (PRSE) of the partition function for the eight-vertex model. By developing a graphical technique, we have obtained the 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.

引用

页码：1067 / 1070

页数：4

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