Literature Cited
R. L. Dobrushin, Funktsional. Analiz i Ego Prilozhen.,2, 31 (1968).
R. L. Dobrushin and S. B. Shlosman, “Nonexistence of one- and two-dimensional Gibbs fields with noncompact continuous symmetry group,” in: Multicomponent Random Systems [in Russian], Nauka, Moscow (1978).
R. L. Dobrushin, Teor. Veroyatn. Ee Primen.,15, 469 (1970).
M. Cassandro, E. Oliviery, Pelligrinotti, and E. Presutti, Z. Wahrch.,41, 313 (1978).
D. Ruelle, Helv. Phys. Acta,36, 183 (1963); Commun. Math. Phys.,18, 127 (1970).
J. L. Lebowitz and E. Presutti, Commun. Math. Phys.,50, 195 (1976).
J. Fröhlich and E. H. Lieb, Commun. Math. Phys.,45, 203 (1975).
J. Glimm, A. Jaffe, and T. Spencer, Commun. Math. Phys.,60, 233 (1976).
J. Fröhlich, R. Israel, E. N. Lieb, and B. Simon, Commun. Math. Phys.,62, 1 (1978).
J. Fröhlich, R. Israel, E. H. Lieb, and B. Simon, J. Stat. Phys.,2, 297 (1980).
R. L. Dobrushin and S. B. Shlosman, Sel. Math. Sov.,1, 317 (1981).
J. Rosen, “The Ising limit of the ϕ4 lattice fields,” Preprint, Rockfeller University (1976).
F. Constantinescu and B. Ströter, J. Math. Phys.,21, 881 (1980).
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All-Union Scientific-Research Institute of the Organization, Control, and Economics of the Oil and Gas Industry. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 59, No. 1, pp. 154–160, April, 1984.
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Shlosman, S.B. Reflection positivity and models with noncompact spin. Theor Math Phys 59, 421–425 (1984). https://doi.org/10.1007/BF01028521
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DOI: https://doi.org/10.1007/BF01028521