Geodesic
Infinite-dimensional gauge Ising model
Teoretičeskaâ i matematičeskaâ fizika, Tome 78 (1989) no. 2, pp. 281-288 
N. S. Ananikyan; A. Z. Aheyan; N. G. Ter-Arutyunyan-Savvidi. Infinite-dimensional gauge Ising model. Teoretičeskaâ i matematičeskaâ fizika, Tome 78 (1989) no. 2, pp. 281-288. http://geodesic.mathdoc.fr/item/TMF_1989_78_2_a10/
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     title = {Infinite-dimensional gauge {Ising} model},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     url = {http://geodesic.mathdoc.fr/item/TMF_1989_78_2_a10/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The infinite-dimensional gauge Ising model on a lattice is formulated. Recurrent relations are derived which make it possible to investigate critical properties of the model. The critical temperature and latent heat are found for the first order phase transition. It is proved that the second order phase transition is absent in “pure” $Z(Q)$ summetrical Potts models at high dimensions.

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