Geodesic
States associated with the two-dimensional Ising model
Teoretičeskaâ i matematičeskaâ fizika, Tome 11 (1972) no. 3, pp. 421-426 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
@article{TMF_1972_11_3_a14,
     author = {S. A. Pirogov},
     title = {States associated with the two-dimensional {Ising} model},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {421--426},
     year = {1972},
     volume = {11},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1972_11_3_a14/}
}
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S. A. Pirogov. States associated with the two-dimensional Ising model. Teoretičeskaâ i matematičeskaâ fizika, Tome 11 (1972) no. 3, pp. 421-426. http://geodesic.mathdoc.fr/item/TMF_1972_11_3_a14/

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