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 TMF, 1972, Volume 11, Number 3, Pages 421–426 (Mi tmf2881)

States associated with the two-dimensional Ising model

S. A. Pirogov

Abstract: A study is made of states on the algebra of 0uasilocal observables generated by the transfer matrix of the two-dimensional Ising model and its highest eigenvecto r in the infinite-volume limit. Both states are quasifree and the latter (“ground state”) is pure. The limit transfer matrix $P_{\infty}$ is also calculated in the space of the representation associated with the ground state. All the calculations are made by the Onsager–Kaufman method.

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English version:
Theoretical and Mathematical Physics, 1972, 11:3, 614–617

Bibliographic databases:

Citation: S. A. Pirogov, “States associated with the two-dimensional Ising model”, TMF, 11:3 (1972), 421–426; Theoret. and Math. Phys., 11:3 (1972), 614–617

Citation in format AMSBIB
\Bibitem{Pir72}
\by S.~A.~Pirogov
\paper States associated with the two-dimensional Ising model
\jour TMF
\yr 1972
\vol 11
\issue 3
\pages 421--426
\mathnet{http://mi.mathnet.ru/tmf2881}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=475445}
\transl
\jour Theoret. and Math. Phys.
\yr 1972
\vol 11
\issue 3
\pages 614--617
\crossref{https://doi.org/10.1007/BF01028379}