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Zapiski Nauchnykh Seminarov POMI, 1995, Volume 224, Pages 146–154 (Mi znsl4439)  
This article is cited in 22 scientific papers (total in 22 papers)

Yang-baxterization of the quantum dilogarithm

A. Yu. Volkov, L. D. Faddeev

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (367 kB) Citations (22)
Abstract: A new solution of the Yang–Baxter equation with spectral parameter is found. The resulting $R$-matrix $R(x)$ is an operator in $\mathcal H\otimes\mathcal H$, where $\mathcal H=L_2(\mathbb R)$. This $R$-matrix is required to justify the solution of the sine-Gordon model on the discrete space-time. Bibliography: 18 titles.
Received: 15.01.1995
English version:
Journal of Mathematical Sciences (New York), 1998, Volume 88, Issue 2, Pages 202–207
DOI: https://doi.org/10.1007/BF02364981
Bibliographic databases:
Document Type: Article
UDC: 530.145+517.9
Language: Russian
Citation: A. Yu. Volkov, L. D. Faddeev, “Yang-baxterization of the quantum dilogarithm”, Questions of quantum field theory and statistical physics. Part 13, Zap. Nauchn. Sem. POMI, 224, POMI, St. Petersburg, 1995, 146–154; J. Math. Sci. (New York), 88:2 (1998), 202–207
Citation in format AMSBIB
\Bibitem{VolFad95}
\by A.~Yu.~Volkov, L.~D.~Faddeev
\paper Yang-baxterization of the quantum dilogarithm
\inbook Questions of quantum field theory and statistical physics. Part~13
\serial Zap. Nauchn. Sem. POMI
\yr 1995
\vol 224
\pages 146--154
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4439}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1364847}
\zmath{https://zbmath.org/?q=an:0899.17003|0893.17014}
\transl
\jour J. Math. Sci. (New York)
\yr 1998
\vol 88
\issue 2
\pages 202--207
\crossref{https://doi.org/10.1007/BF02364981}
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  • https://www.mathnet.ru/eng/znsl/v224/p146
    • This publication is cited in the following 22 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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