Geodesic
Calculation of correlation functions in the ising model with long-range interaction
Teoretičeskaâ i matematičeskaâ fizika, Tome 11 (1972) no. 3, pp. 385-402 
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/
@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},
     year = {1972},
     volume = {11},
     number = {3},
     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
UR  - http://geodesic.mathdoc.fr/item/TMF_1972_11_3_a11/
LA  - ru
ID  - TMF_1972_11_3_a11
ER  - 
%0 Journal Article
%A Yu. A. Tserkovnikov
%T Calculation of correlation functions in the ising model with long-range interaction
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1972
%P 385-402
%V 11
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1972_11_3_a11/
%G ru
%F TMF_1972_11_3_a11

Voir la notice de l'article provenant de la source Math-Net.Ru

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.

[1] I. V. Stasyuk, FMM, 31 (1971), 699

[2] R. J. Kubo, Phys. Soc. Japan, 17 (1962), 1100 | DOI | MR | Zbl

[3] Yu. G. Rudoi, Preprint MIAN SSSR, 1964 | MR

[4] D. N. Zubarev, UFN, 71 (1960), 71 | DOI | MR

[5] F. M. Mors, G. Feshbakh, Metody teoreticheskoi fiziki, t. 1, IL, 1958

[6] Yu. A. Izyumov, F. A. Kassan-Ogly, FMM, 30 (1970), 225

[7] Yu. G. Rudoi, TMF, 2 (1970), 129

[8] Yu. A. Tserkovnikov, TMF, 7 (1971), 250

[9] S. V. Tyablikov, V. K. Fedyanin, FMM, 23 (1967), 2