The Yang-Baxter relation and gauge invariance

被引：8
|
作者：
Kashaev, Rinat [1 ]
机构：
[1] Univ Geneva, Sect Math, 2-4 Rue Lievre, CH-1211 Geneva 4, Switzerland
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2016年 / 49卷 / 16期
基金：
新加坡国家研究基金会; 瑞士国家科学基金会;
关键词：
Yang-Baxter relation; quantum dilogarithm; IRF lattice model; gauge invariance; EQUATION;
D O I：
10.1088/1751-8113/49/16/164001
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Starting from a quantum dilogarithm over a Pontryagin self-dual LCA group A, we construct an operator solution of the Yang-Baxter equation generalizing the solution of the Faddeev-Volkov model. Based on a specific choice of a subgroup B subset of A and by using the Weil transformation, we also give a new non-operator interpretation of the Yang-Baxter relation. That allows us to construct a lattice QFT-model of IRF-type with gauge invariance under independent B-translations of local 'spin' variables.
引用
收藏
页数：16
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