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Zapiski Nauchnykh Seminarov POMI, 2018, Volume 473, Pages 77–84 (Mi znsl6655)  
The partition function of the four-vertex model in a special external field

N. Bogoliubov, C. Malyshev

St. Petersburg Department of Steklov Institute of Mathematics, RAS, Fontanka 27, St. Petersburg, Russia
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Abstract: The exactly solvable four-vertex model on a square grid with the fixed boundary conditions in a presence of a special external field is considered. Namely, we study a system in a linear field acting on the central column of a grid. The partition function of the model is calculated by Quantum Inverse Scattering Method. The answer is written in the determinantal form.
Key words and phrases: four-vertex model, integrable models, Quantum Inverse Scattering Method.
Funding agency Grant number
Russian Science Foundation 18-11-00297
This work was supported by the Russian Science Foundation (grant no. 18-11-00297).
Received: 22.11.2018
English version:
Journal of Mathematical Sciences (New York), 2019, Volume 242, Issue 5, Pages 636–641
DOI: https://doi.org/10.1007/s10958-019-04502-8
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: English
Citation: N. Bogoliubov, C. Malyshev, “The partition function of the four-vertex model in a special external field”, Questions of quantum field theory and statistical physics. Part 25, Zap. Nauchn. Sem. POMI, 473, POMI, St. Petersburg, 2018, 77–84; J. Math. Sci. (N. Y.), 242:5 (2019), 636–641
Citation in format AMSBIB
\Bibitem{BogMal18}
\by N.~Bogoliubov, C.~Malyshev
\paper The partition function of the four-vertex model in a special external field
\inbook Questions of quantum field theory and statistical physics. Part~25
\serial Zap. Nauchn. Sem. POMI
\yr 2018
\vol 473
\pages 77--84
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6655}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2019
\vol 242
\issue 5
\pages 636--641
\crossref{https://doi.org/10.1007/s10958-019-04502-8}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85074214093}
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