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Zap. Nauchn. Sem. POMI, 2000, Volume 269, Pages 308–321 (Mi znsl1321)  

This article is cited in 4 scientific papers (total in 4 papers)

Fredholm determinant representation for the partition function of the six-vertex model

N. A. Slavnov

Steklov Mathematical Institute, Russian Academy of Sciences

Abstract: The six-vertex model with domain wallboundary conditions is considered. A Fremholm determinant representation for the partition function of the model is ontained. The kernel of the corresponding integral operator depends on Laguerre polynomials.

Full text: PDF file (192 kB)

English version:
Journal of Mathematical Sciences (New York), 2003, 115:1, 2058–2065

Bibliographic databases:

UDC: 517.9
Received: 10.05.2000

Citation: N. A. Slavnov, “Fredholm determinant representation for the partition function of the six-vertex model”, Questions of quantum field theory and statistical physics. Part 16, Zap. Nauchn. Sem. POMI, 269, POMI, St. Petersburg, 2000, 308–321; J. Math. Sci. (N. Y.), 115:1 (2003), 2058–2065

Citation in format AMSBIB
\Bibitem{Sla00}
\by N.~A.~Slavnov
\paper Fredholm determinant representation for the partition function of the six-vertex model
\inbook Questions of quantum field theory and statistical physics. Part~16
\serial Zap. Nauchn. Sem. POMI
\yr 2000
\vol 269
\pages 308--321
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1321}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1805867}
\zmath{https://zbmath.org/?q=an:1092.82011}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2003
\vol 115
\issue 1
\pages 2058--2065
\crossref{https://doi.org/10.1023/A:1022664216120}


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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. Bogoliubov N.M., Pronko A.G., Zvonarev M.B., “Boundary correlation functions of the six-vertex model”, Journal of Physics A-Mathematical and General, 35:27 (2002), 5525–5541  crossref  mathscinet  zmath  adsnasa  isi  scopus
    2. Bogoliubov N.M., Kitaev A.V., Zvonarev M.B., “Boundary polarization in the six-vertex model”, Physical Review E, 65:2, Part 2 (2002), 026126  crossref  mathscinet  adsnasa  isi  scopus
    3. Colomo F., Pronko A.G., “On some representations of the six vertex model partition function”, Phys Lett A, 315:3–4 (2003), 231–236  crossref  mathscinet  zmath  adsnasa  isi  scopus
    4. Colomo F., Pronko A.G., “On the partition function of the six–vertex model with domain wall boundary conditions”, Journal of Physics A–Mathematical and General, 37:6 (2004), 1987–2002  crossref  mathscinet  zmath  adsnasa  isi  scopus
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