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Teoreticheskaya i Matematicheskaya Fizika, 1970, Volume 5, Number 1, Pages 110–124
(Mi tmf4190)
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This article is cited in 4 scientific papers (total in 4 papers)
Application of the functional integration method to the Heisenberg model of ferromagnetism
Yu. A. Izyumov, Yu. N. Skryabin
Abstract:
The partition function of a Heisenberg ferromagnet is represented as a functional integral over the stochastic fields. The integrand describing the partition function of the system of spins without interaction is expanded in a series of powers of the stochastic fields. It is shown that this leads to the usual expansions of the original expression in powers of the interaction. A functional integral representation of the partition function in the Ising model is considered as a special case. By means of a cumulant expansion of the integrand a diagram technique is constructed for the calculation of the partition function, the magnetization, and the Green's functions of an Ising ferromagnet.
Received: 09.01.1970
Citation:
Yu. A. Izyumov, Yu. N. Skryabin, “Application of the functional integration method to the Heisenberg model of ferromagnetism”, TMF, 5:1 (1970), 110–124; Theoret. and Math. Phys., 5:1 (1970), 1018–1028
Linking options:
https://www.mathnet.ru/eng/tmf4190 https://www.mathnet.ru/eng/tmf/v5/i1/p110
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