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Zapiski Nauchnykh Seminarov POMI, 2007, Volume 347, Pages 34–55 (Mi znsl72)  
This article is cited in 9 scientific papers (total in 9 papers)

Four-vertex model

N. M. Bogolyubov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (357 kB) Citations (9)
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Abstract: Exactly solvable four-vertex model is considered on a square grid with the different boundary conditions. The application of the Algebraic Bethe Ansatz method allows to calculate the partition function of the model and to establish the connection of the scalar product of the state vectors with the generating function of the column and raw strict boxed plane partitions. The tiling model on a periodic grid is discussed.
Received: 18.06.2007
English version:
Journal of Mathematical Sciences (New York), 2008, Volume 151, Issue 2, Pages 2816–2828
DOI: https://doi.org/10.1007/s10958-008-9000-z
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: N. M. Bogolyubov, “Four-vertex model”, Questions of quantum field theory and statistical physics. Part 20, Zap. Nauchn. Sem. POMI, 347, POMI, St. Petersburg, 2007, 34–55; J. Math. Sci. (N. Y.), 151:2 (2008), 2816–2828
Citation in format AMSBIB
\Bibitem{Bog07}
\by N.~M.~Bogolyubov
\paper Four-vertex model
\inbook Questions of quantum field theory and statistical physics. Part~20
\serial Zap. Nauchn. Sem. POMI
\yr 2007
\vol 347
\pages 34--55
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl72}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2458883}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2008
\vol 151
\issue 2
\pages 2816--2828
\crossref{https://doi.org/10.1007/s10958-008-9000-z}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-49249102627}
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  • https://www.mathnet.ru/eng/znsl/v347/p34
    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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