The Yang-Baxter relation and gauge invariance

Sunday, 11 October, 2015

Published in: 

arXiv:1510.03043

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⊂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.

Author(s): 

Rinat Kashaev