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TMF, 1973, Volume 14, Number 2, Pages 272–276 (Mi tmf3384)  

This article is cited in 2 scientific papers (total in 2 papers)

Application of field theory methods in the Ising model. I

I. V. Volovich, E. A. Dynin, V. A. Zagrebnov, V. P. Frolov


Abstract: Using the analogy between the Ising model and an essentially nonlinear field theory it is shown that the selfconsistent Curie-Weiss solution can be obtained from a certain functional equation and that it corresponds to the quasiclassical approximation in field theory. The appearance of spontaneous magnetization can be interpreted as the formation of bound states.

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English version:
Theoretical and Mathematical Physics, 1973, 14:2, 203–206

Received: 13.06.1972

Citation: I. V. Volovich, E. A. Dynin, V. A. Zagrebnov, V. P. Frolov, “Application of field theory methods in the Ising model. I”, TMF, 14:2 (1973), 272–276; Theoret. and Math. Phys., 14:2 (1973), 203–206

Citation in format AMSBIB
\Bibitem{VolDynZag73}
\by I.~V.~Volovich, E.~A.~Dynin, V.~A.~Zagrebnov, V.~P.~Frolov
\paper Application of field theory methods in the Ising model.~I
\jour TMF
\yr 1973
\vol 14
\issue 2
\pages 272--276
\mathnet{http://mi.mathnet.ru/tmf3384}
\transl
\jour Theoret. and Math. Phys.
\yr 1973
\vol 14
\issue 2
\pages 203--206
\crossref{https://doi.org/10.1007/BF01036359}


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  • http://mi.mathnet.ru/eng/tmf/v14/i2/p272

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    Citing articles on Google Scholar: Russian citations, English citations
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    Cycle of papers

    This publication is cited in the following articles:
    1. I. V. Volovich, E. A. Dynin, V. A. Zagrebnov, V. P. Frolov, “On the application of field-theory methods in the Ising model II. Calculation of the critical index $\eta$”, Theoret. and Math. Phys., 15:3 (1973), 621–627  mathnet  crossref
    2. A. N. Vasil'ev, R. A. Radzhabov, “Legendre transforms in the Ising model”, Theoret. and Math. Phys., 21:1 (1974), 963–970  mathnet  crossref
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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