Asymmetric 6-vertex model and classical Ruijsenaars-Schneider system of particles

Abstract

We discuss the correspondence between models solved by Bethe ansatz and classical integrable systems of Calogero type. We illustrate the correspondence by the simplest example of the inhomogeneous asymmetric 6-vertex model parametrized by trigonometric (hyperbolic) functions.

14 pages, for proceedings of the conference CQIS-2016 (St. Petersburg, Russia), a short concluding section and references added