The Yang-Baxter relation and gauge invariance
Mathematical Physics
2016-04-20 v1 math.MP
Abstract
Starting from a quantum dilogarithm over a Pontryagin self-dual LCA group , 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 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 -translations of local `spin' variables.
Cite
@article{arxiv.1510.03043,
title = {The Yang-Baxter relation and gauge invariance},
author = {Rinat Kashaev},
journal= {arXiv preprint arXiv:1510.03043},
year = {2016}
}
Comments
16 pages