Asymmetric six-vertex model and the classical Ruijsenaars–Schneider system of particles
- Authors: Zabrodin A.V.1,2,3, Zotov A.V.1,4,5, Liashyk A.N.2,3,6, Rudneva D.S.2,7
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Affiliations:
- Institute for Theoretical and Experimental Physics
- National Research University Higher School of Economics
- Skolkovo Institute of Science and Technology
- Moscow Institute of Physics and Technology
- Steklov Mathematical Institute of Russian Academy of Sciences
- Bogolyubov Institute for Theoretical Physics
- University of California
- Issue: Vol 192, No 2 (2017)
- Pages: 1141-1153
- Section: Article
- URL: https://bakhtiniada.ru/0040-5779/article/view/171349
- DOI: https://doi.org/10.1134/S0040577917080050
- ID: 171349
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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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