Geodesic
Application of the functional integration method to the Heisenberg model of ferromagnetism
Teoretičeskaâ i matematičeskaâ fizika, Tome 5 (1970) no. 1, pp. 110-124

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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. 
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     author = {Yu. A. Izyumov and Yu. N. Skryabin},
     title = {Application of the functional integration method to the {Heisenberg} model of ferromagnetism},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     publisher = {mathdoc},
     volume = {5},
     number = {1},
     year = {1970},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1970_5_1_a10/}
}
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Yu. A. Izyumov; Yu. N. Skryabin. Application of the functional integration method to the Heisenberg model of ferromagnetism. Teoretičeskaâ i matematičeskaâ fizika, Tome 5 (1970) no. 1, pp. 110-124. http://geodesic.mathdoc.fr/item/TMF_1970_5_1_a10/