Asymmetric six-vertex model and the classical Ruijsenaars–Schneider system of particles


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Abstract

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

About the authors

A. V. Zabrodin

Institute for Theoretical and Experimental Physics; National Research University Higher School of Economics; Skolkovo Institute of Science and Technology

Author for correspondence.
Email: zabrodin@itep.ru
Russian Federation, Moscow; Moscow; Moscow

A. V. Zotov

Institute for Theoretical and Experimental Physics; Moscow Institute of Physics and Technology; Steklov Mathematical Institute of Russian Academy of Sciences

Email: zabrodin@itep.ru
Russian Federation, Moscow; Dolgoprudny, Moscow Oblast; Moscow

A. N. Liashyk

National Research University Higher School of Economics; Skolkovo Institute of Science and Technology; Bogolyubov Institute for Theoretical Physics

Email: zabrodin@itep.ru
Russian Federation, Moscow; Moscow; Kiev

D. S. Rudneva

National Research University Higher School of Economics; University of California

Email: zabrodin@itep.ru
Russian Federation, Moscow; Santa Barbara, California

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