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Teoreticheskaya i Matematicheskaya Fizika, 1985, Volume 64, Number 1, Pages 150–162 (Mi tmf4908)  
This article is cited in 41 scientific papers (total in 41 papers)

Simple solution of two-dimensional ising model on a torus in terms of Grassmann integrals

V. N. Plechko
Full-text PDF (1335 kB) Citations (41)
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Abstract: A simple method is proposed for exact solution of the two-dimensional Ising model on a torus (lattice of finite size with periodic boundary conditions). The problem is solved through construction of a Grassmann representation for the partition function. The mirror Grassmann factorization for the Boltzmann weights and a special identity for Grassmaan functions are used. The method is mathematically completely rigorous.
Received: 23.07.1984
English version:
Theoretical and Mathematical Physics, 1985, Volume 64, Issue 1, Pages 748–756
DOI: https://doi.org/10.1007/BF01017042
Bibliographic databases:
Language: Russian
Citation: V. N. Plechko, “Simple solution of two-dimensional ising model on a torus in terms of Grassmann integrals”, TMF, 64:1 (1985), 150–162; Theoret. and Math. Phys., 64:1 (1985), 748–756
Citation in format AMSBIB
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\by V.~N.~Plechko
\paper Simple solution of two-dimensional ising model on a~torus in terms of Grassmann integrals
\jour TMF
\yr 1985
\vol 64
\issue 1
\pages 150--162
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=815103}
\transl
\jour Theoret. and Math. Phys.
\yr 1985
\vol 64
\issue 1
\pages 748--756
\crossref{https://doi.org/10.1007/BF01017042}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1985AYT5900013}
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    • This publication is cited in the following 41 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
     
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