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Zapiski Nauchnykh Seminarov POMI, 1997, Volume 245, Pages 173–206 (Mi znsl540)  
This article is cited in 13 scientific papers (total in 13 papers)

Equal-time temperature correlators of the one-dimensional Heisenberg XY chain

A. G. Izergin, V. S. Kapitonov, N. A. Kitanin

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (320 kB) Citations (13)
Abstract: Representations as determinants of $M\times M$ dimensional matrices are obtained for equal-time temperature correlators of the anisotropic Heisenberg XY chain. These representations are simple deformations of the answers for the isotropic XXO chain. In the thermodynamical limit, the correlators are expressed in terms of the Fredholm determinants of linear integral operators.
Received: 13.03.1997
English version:
Journal of Mathematical Sciences (New York), 2000, Volume 100, Issue 2, Pages 2120–2140
DOI: https://doi.org/10.1007/BF02675733
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: A. G. Izergin, V. S. Kapitonov, N. A. Kitanin, “Equal-time temperature correlators of the one-dimensional Heisenberg XY chain”, Questions of quantum field theory and statistical physics. Part 14, Zap. Nauchn. Sem. POMI, 245, POMI, St. Petersburg, 1997, 173–206; J. Math. Sci. (New York), 100:2 (2000), 2120–2140
Citation in format AMSBIB
\Bibitem{IzeKapKit97}
\by A.~G.~Izergin, V.~S.~Kapitonov, N.~A.~Kitanin
\paper Equal-time temperature correlators of the one-dimensional Heisenberg XY chain
\inbook Questions of quantum field theory and statistical physics. Part~14
\serial Zap. Nauchn. Sem. POMI
\yr 1997
\vol 245
\pages 173--206
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl540}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1627784}
\zmath{https://zbmath.org/?q=an:0978.82028}
\transl
\jour J. Math. Sci. (New York)
\yr 2000
\vol 100
\issue 2
\pages 2120--2140
\crossref{https://doi.org/10.1007/BF02675733}
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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