Convergence of Feynman diagram expansions in the Ising model
Teoretičeskaâ i matematičeskaâ fizika, Tome 30 (1977) no. 1, pp. 138-141 Cet article a éte moissonné depuis la source Math-Net.Ru

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Estimates for vertex factors of the Feynman graphs in the Ising model are obtained. These estimates demonstrate the existence of some simple divergent subsequences of diagrams.
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N. M. Bogolyubov. Convergence of Feynman diagram expansions in the Ising model. Teoretičeskaâ i matematičeskaâ fizika, Tome 30 (1977) no. 1, pp. 138-141. http://geodesic.mathdoc.fr/item/TMF_1977_30_1_a15/

[1] D. Ryuel, Statisticheskaya mekhanika. Strogie rezultaty, «Mir», 1971

[2] A. N. Vasilev, R. A. Radzhabov, TMF, 21 (1974), 49

[3] E. R. Caianello, Nuovo Cim., 10 (1953), 1634 | DOI

[4] A. Jaffe, Commun. Math. Phys., 7 (1966), 510

[5] R. Braut, Fazovye perekhody, «Mir», 1967

[6] N. M. Bogolyubov, V. F. Brattsev, A. N. Vasilev, A. L. Korzhenevskii, R. A. Radzhabov, TMF, 26 (1976), 341 | MR

[7] D. Ulenbek, Dzh. Ford, Lektsii po statisticheskoi mekhanike, «Mir», 1965