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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 1972 Volume 11, Number 3, Pages 385–402 (Mi tmf2878)

This article is cited in 6 papers

Calculation of correlation functions in the ising model with long-range interaction

Yu. A. Tserkovnikov


Abstract: 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.

Received: 07.09.1971


 English version:
Theoretical and Mathematical Physics, 1972, 11:3, 588–600


© Steklov Math. Inst. of RAS, 2026