Baxters's Q-operators for the simplest q-deformed model
Exactly Solvable and Integrable Systems
2007-05-23 v1
Abstract
In the present paper we describe the procedure of the Q-operators construction for the q-deformed model, described by the Lax operator, which is important to formulate the Bethe ansatz for the Sin-Gordon model. This Lax operator can also be considered as some massless limit of the Lax operator of SG model. We constructed two R-operators which are the universal intertwiners for the Lax operators. The traces of its monodromies over the auxiliary space are Baxter operators i.e. the operator solutions of T-Q equation. We also found the intertwining relations which imply the mutual commutativity of the corresponding Q-operators.
Cite
@article{arxiv.nlin/0307040,
title = {Baxters's Q-operators for the simplest q-deformed model},
author = {A. E. Kovalsky and G. P. Pronko},
journal= {arXiv preprint arXiv:nlin/0307040},
year = {2007}
}
Comments
11 pages