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Teoreticheskaya i Matematicheskaya Fizika, 1984, Volume 61, Number 3, Pages 364–377 (Mi tmf5739)  
This article is cited in 4 scientific papers (total in 4 papers)

Lattice sine-Gordon model with local Hamiltonian

N. M. Bogolyubov, A. G. Izergin
Full-text PDF (1465 kB) Citations (4)
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Abstract: The excitation spectrum in the quantum lattice sine-Gordon model with Hamiltonian describing the interaction of two nearest neighbors on a lattice is obtained. This lattice model is one of the possible regularizations of the quantum field sine-Gordon model that preserve the property of complete integrability. It is shown that in the quantum field model regularized in this manner there are phase transitions at the points γ=πn/(n+1) (n is an integer), and these are explained by a change in the structure of the vacuum state.
Received: 12.08.1984
English version:
Theoretical and Mathematical Physics, 1984, Volume 61, Issue 3, Pages 1195–1204
DOI: https://doi.org/10.1007/BF01035003
Bibliographic databases:
Language: Russian
Citation: N. M. Bogolyubov, A. G. Izergin, “Lattice sine-Gordon model with local Hamiltonian”, TMF, 61:3 (1984), 364–377; Theoret. and Math. Phys., 61:3 (1984), 1195–1204
Citation in format AMSBIB
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\by N.~M.~Bogolyubov, A.~G.~Izergin
\paper Lattice sine-Gordon model with local Hamiltonian
\jour TMF
\yr 1984
\vol 61
\issue 3
\pages 364--377
\mathnet{http://mi.mathnet.ru/tmf5739}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=778357}
\transl
\jour Theoret. and Math. Phys.
\yr 1984
\vol 61
\issue 3
\pages 1195--1204
\crossref{https://doi.org/10.1007/BF01035003}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1984ALJ5900004}
Linking options:
  • https://www.mathnet.ru/eng/tmf5739
  • https://www.mathnet.ru/eng/tmf/v61/i3/p364
    • This publication is cited in the following 4 articles:
    1. Yupeng Wang, Wen-Li Yang, Junpeng Cao, Kangjie Shi, Off-Diagonal Bethe Ansatz for Exactly Solvable Models, 2015, 251  crossref
    2. Fabian H L Eßler, Holger Frahm, Alexander R Its, Vladimir E Korepin, “Determinant representation for a quantum correlation function of the lattice sine - Gordon model”, J. Phys. A: Math. Gen., 30:1 (1997), 219  crossref
    3. N. M. Bogolyubov, “Thermodynamics of a one-dimensional lattice Bose gas”, Theoret. and Math. Phys., 67:3 (1986), 614–622  mathnet  crossref  mathscinet  isi
    4. A. N. Kirillov, N. Yu. Reshetikhin, “Exact solution of the Heisenberg XXZ model of spin s”, J Math Sci, 35:4 (1986), 2627  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Full-text PDF :138
    References:61
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