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/}
}
TY - JOUR AU - Yu. A. Tserkovnikov TI - Calculation of correlation functions in the ising model with long-range interaction JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1972 SP - 385 EP - 402 VL - 11 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1972_11_3_a11/ LA - ru ID - TMF_1972_11_3_a11 ER -
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/