Calculation of correlation functions in the ising model with long-range interaction
Teoretičeskaâ i matematičeskaâ fizika, Tome 11 (1972) no. 3, pp. 385-402

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The Ising model with a large number $z$ of interacting neighbors is considered. A perturbation theory is constructed on the basis of the method of steepest descents, and it is used to obtain asymptotic estimates for the correlation functions in any order in $1/z$. The temperature dependence of the correlation functions is investigated in the lowest approximations.
@article{TMF_1972_11_3_a11,
     author = {Yu. A. Tserkovnikov},
     title = {Calculation of correlation functions in the ising model with long-range interaction},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {385--402},
     publisher = {mathdoc},
     volume = {11},
     number = {3},
     year = {1972},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1972_11_3_a11/}
}
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Yu. A. Tserkovnikov. Calculation of correlation functions in the ising model with long-range interaction. Teoretičeskaâ i matematičeskaâ fizika, Tome 11 (1972) no. 3, pp. 385-402. http://geodesic.mathdoc.fr/item/TMF_1972_11_3_a11/