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Zapiski Nauchnykh Seminarov POMI, 2000, Volume 269, Pages 269–291 (Mi znsl1319)  
This article is cited in 1 scientific paper (total in 1 paper)

Functional integration, zeta regularization and correlators of third components of spins in the $XXO$-Heisenberg model

K. L. Malyshev

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (275 kB) Citations (1)
Abstract: New representation for the generating function of static correlators of third components of spins in the $XXO$-Heisenberg model is advanced in the form of Gaussian functional integral. The generating function, as well as the partition function of the model, are calculated by means of zeta regularization procedure. Formulas for certain correlation functions at nonzero temperature are obtained.
Received: 28.02.2000
English version:
Journal of Mathematical Sciences (New York), 2003, Volume 115, Issue 1, Pages 2037–2048
DOI: https://doi.org/10.1023/A:1022660115212
Bibliographic databases:
UDC: 517.9+536.7
Language: Russian
Citation: K. L. Malyshev, “Functional integration, zeta regularization and correlators of third components of spins in the $XXO$-Heisenberg model”, Questions of quantum field theory and statistical physics. Part 16, Zap. Nauchn. Sem. POMI, 269, POMI, St. Petersburg, 2000, 269–291; J. Math. Sci. (N. Y.), 115:1 (2003), 2037–2048
Citation in format AMSBIB
\Bibitem{Mal00}
\by K.~L.~Malyshev
\paper Functional integration, zeta regularization and correlators of third components of spins in the $XXO$-Heisenberg
model
\inbook Questions of quantum field theory and statistical physics. Part~16
\serial Zap. Nauchn. Sem. POMI
\yr 2000
\vol 269
\pages 269--291
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1319}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1805864}
\zmath{https://zbmath.org/?q=an:1092.82509}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2003
\vol 115
\issue 1
\pages 2037--2048
\crossref{https://doi.org/10.1023/A:1022660115212}
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  • https://www.mathnet.ru/eng/znsl/v269/p269
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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