Geodesic
Classical Heisenberg model at zero temperature
Teoretičeskaâ i matematičeskaâ fizika, Tome 81 (1989) no. 1, pp. 134-144 
M. V. Shcherbina. Classical Heisenberg model at zero temperature. Teoretičeskaâ i matematičeskaâ fizika, Tome 81 (1989) no. 1, pp. 134-144. http://geodesic.mathdoc.fr/item/TMF_1989_81_1_a11/
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     author = {M. V. Shcherbina},
     title = {Classical {Heisenberg} model at~zero temperature},
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Voir la notice de l'article provenant de la source Math-Net.Ru

It is shown under a certain rather weak condition on the pair interaction potential: $|\Lambda|^{-1}\sum_{r,r'\in\Lambda}|u_{r,r'}|^2, that the free energy of the classical Heisenberg model in the ordered as well as disordered case in the limit $T\to0$ converges to the expression corresponding to the self-consistent field approximation. As a by-product, the free energy for the Eguchi–Kawai $U(N)$ gauge model is found for arbitrary dimension $d$ of the lattice.

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