克拉默-万尼尔对偶性和图特多项式

IF 1 4区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Theoretical and Mathematical Physics Pub Date : 2024-08-26 DOI:10.1134/s0040577924080051

A. A. Kazakov

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引用次数: 0

摘要

摘要我们研究了波茨模型的分割函数与图特多项式之间联系的应用：证明了如何从图特对偶性推导出克拉默-万尼尔对偶性。利用 "收缩-消除 "关系和比格斯形式主义，我们推导了高温展开，并讨论了将克拉默-万尼尔对偶性推广到非平面图上模型的可能方法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Kramers–Wannier duality and Tutte polynomials

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Kramers–Wannier duality and Tutte polynomials

Abstract

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.

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来源期刊

Theoretical and Mathematical Physics 物理-物理：数学物理

CiteScore

1.60

自引率

20.00%

发文量

103

审稿时长

4-8 weeks

期刊介绍： Theoretical and Mathematical Physics covers quantum field theory and theory of elementary particles, fundamental problems of nuclear physics, many-body problems and statistical physics, nonrelativistic quantum mechanics, and basic problems of gravitation theory. Articles report on current developments in theoretical physics as well as related mathematical problems. Theoretical and Mathematical Physics is published in collaboration with the Steklov Mathematical Institute of the Russian Academy of Sciences.