Geodesic
Correlation Function of the Two-Dimensional Ising Model on a Finite Lattice: II
Teoretičeskaâ i matematičeskaâ fizika, Tome 140 (2004) no. 1, pp. 113-127

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We calculate the pair correlation function and the magnetic susceptibility in the anisotropic Ising model on the lattice with one infinite and one finite dimension with periodic boundary conditions imposed along the second dimension. Using the exact expressions for lattice form factors, we propose formulas for arbitrary spin matrix elements, thus providing a possibility to calculate all multipoint correlation functions in the anisotropic Ising model on cylindrical and toroidal lattices. We analyze passing to the scaling limit.
Keywords: Ising model, correlation function, susceptibility, form factor, finite-size lattice. 
A. I. Bugrij; O. O. Lisovyy. Correlation Function of the Two-Dimensional Ising Model on a Finite Lattice: II. Teoretičeskaâ i matematičeskaâ fizika, Tome 140 (2004) no. 1, pp. 113-127. http://geodesic.mathdoc.fr/item/TMF_2004_140_1_a8/
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