Simple solution of two-dimensional ising model on a torus in terms of Grassmann integrals
Teoretičeskaâ i matematičeskaâ fizika, Tome 64 (1985) no. 1, pp. 150-162 Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
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V. N. Plechko. Simple solution of two-dimensional ising model on a torus in terms of Grassmann integrals. Teoretičeskaâ i matematičeskaâ fizika, Tome 64 (1985) no. 1, pp. 150-162. http://geodesic.mathdoc.fr/item/TMF_1985_64_1_a12/

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