KRAMERS-WANNIER DUALITY AND TUTTE POLYNOMIALS

被引：0
|
作者：
Kazakov, A. A. [1 ,2 ,3 ,4 ]
机构：
[1] Lomonosov Moscow State Univ, Fac Mech & Math, Moscow, Russia
[2] Demidov Yaroslavl State Univ, Ctr Integrable Syst, Yaroslavl, Russia
[3] Natl Res Univ, Moscow Inst Phys & Technol, Ctr Fundamental Math, Moscow, Moscow, Russia
[4] Kazan Volga Reg Fed Univ, Lobachevsky Inst Math & Mech, Kazan, Russia
来源：
THEORETICAL AND MATHEMATICAL PHYSICS | 2024年 / 220卷 / 02期
基金：
俄罗斯科学基金会;
关键词：
Ising model; Potts model; Tutte polynomials; Biggs model; Kramers-Wannier duality;
D O I：
10.1134/S0040577924080051
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We study applications of the connection between the partition functions of the Potts models and Tutte polynomials: it is demonstrated how the Kramers-Wannier duality can be derived from the Tutte duality. Using the "contraction-elimination" relation and the Biggs formalism, we derive the high-temperature expansion and discuss possible methods for generalizing the Kramers-Wannier duality to models on nonplanar graphs.
引用
收藏
页码：1304 / 1314
页数：11
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