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TMF, 2017, Volume 192, Number 2, Pages 235–249 (Mi tmf9300)  

This article is cited in 1 scientific paper (total in 1 paper)

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

A. V. Zabrodinabc, A. V. Zotovade, A. N. Liashykbcf, D. S. Rudnevabg

a Institute for Theoretical and Experimental Physics, Moscow, Russia
b National Research University "Higher School of Economics", Moscow, Russia
c Skolkovo Institute of Science and Technology, Russia
d Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region, Russia
e Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
f Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine, Kiev, Ukraine
g University of California, Santa Barbara, United States of America

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.

Keywords: six-vertex model, Ruijsenaars–Schneider system of particles, quantum–classical correspondence

Funding Agency Grant Number
Ministry of Education and Science of the Russian Federation 5-100
Russian Foundation for Basic Research 14-02-00627
14-01-00860
15-51-52031 HHC_a
National Academy of Sciences of Ukraine F14-2016
This research was supported by the Russian Federation program for supporting leading universities (Project 5-100).
The research of A. N. Liashyk was supported by the joint NASU-CNRS Project F14-2016.
The research of A. V. Zabrodin was supported in part by the Russian Foundation for Basic Research (Grant No. 14-02-00627).
The research of A. V. Zotov was supported in part by the Russian Foundation for Basic Research (Grant Nos. 14-01-00860 and 15-51-52031 HHC$_a$.


DOI: https://doi.org/10.4213/tmf9300

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English version:
Theoretical and Mathematical Physics, 2017, 192:2, 1141–1153

Bibliographic databases:

Received: 08.11.2016
Revised: 27.11.2016

Citation: A. V. Zabrodin, A. V. Zotov, A. N. Liashyk, D. S. Rudneva, “Asymmetric six-vertex model and the classical Ruijsenaars–Schneider system of particles”, TMF, 192:2 (2017), 235–249; Theoret. and Math. Phys., 192:2 (2017), 1141–1153

Citation in format AMSBIB
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\paper Asymmetric six-vertex model and the~classical Ruijsenaars--Schneider system of particles
\jour TMF
\yr 2017
\vol 192
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\pages 235--249
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\vol 192
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\pages 1141--1153
\crossref{https://doi.org/10.1134/S0040577917080050}
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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. A. Zabrodin, A. Zotov, “Self-dual form of Ruijsenaars-Schneider models and ILW equation with discrete Laplacian”, Nucl. Phys. B, 927 (2018), 550–565  crossref  mathscinet  zmath  isi  scopus
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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