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Zapiski Nauchnykh Seminarov POMI, 2018, Volume 473, Pages 228–243 (Mi znsl6664)  
This article is cited in 8 scientific papers (total in 8 papers)

Off-shell Bethe states and the six-vertex model

A. G. Pronkoa, G. P. Pronkob

a Steklov Mathematical Institute, Fontanka 27, St. Petersburg, 191023, Russia
b Institute for High Energy Physics, The National Research Center "Kurchatov Institute", Protvino, Moscow region, 142281, Russia
Full-text PDF (196 kB) Citations (8)
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Abstract: We study the symmetric six-vertex model on a finite square lattice with the partial domain wall boundary conditions. We use the known connection of the model with the off-shell Bethe states of the Heisenberg XXZ spin chain. We obtain various formulas for the partition function, and also discuss the model in the limit of semi-infinite lattice.
Key words and phrases: partial domain wall boundary conditions, Izergin–Korepin partition function, coordinate Bethe Ansatz, determinant representations.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00296_а
Russian Academy of Sciences - Federal Agency for Scientific Organizations PRAS-18-02
This work is supported in part by the Russian Foundation for Basic Research, under grant No. 16-01-00296, and by the Program of the Presidium of the Russian Academy of Sciences No. 02 “Nonlinear Dynamics: Fundamental Problems and Applications”, under grant PRAS-18-02.
Received: 19.11.2018
English version:
Journal of Mathematical Sciences (New York), 2019, Volume 242, Issue 5, Pages 742–752
DOI: https://doi.org/10.1007/s10958-019-04511-7
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: English
Citation: A. G. Pronko, G. P. Pronko, “Off-shell Bethe states and the six-vertex model”, Questions of quantum field theory and statistical physics. Part 25, Zap. Nauchn. Sem. POMI, 473, POMI, St. Petersburg, 2018, 228–243; J. Math. Sci. (N. Y.), 242:5 (2019), 742–752
Citation in format AMSBIB
\Bibitem{ProPro18}
\by A.~G.~Pronko, G.~P.~Pronko
\paper Off-shell Bethe states and the six-vertex model
\inbook Questions of quantum field theory and statistical physics. Part~25
\serial Zap. Nauchn. Sem. POMI
\yr 2018
\vol 473
\pages 228--243
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6664}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2019
\vol 242
\issue 5
\pages 742--752
\crossref{https://doi.org/10.1007/s10958-019-04511-7}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85074214732}
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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