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Reflection positivity and models with noncompact spin

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Literature Cited

  1. R. L. Dobrushin, Funktsional. Analiz i Ego Prilozhen.,2, 31 (1968).

    Google Scholar 

  2. 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).

    Google Scholar 

  3. R. L. Dobrushin, Teor. Veroyatn. Ee Primen.,15, 469 (1970).

    Google Scholar 

  4. M. Cassandro, E. Oliviery, Pelligrinotti, and E. Presutti, Z. Wahrch.,41, 313 (1978).

    Google Scholar 

  5. D. Ruelle, Helv. Phys. Acta,36, 183 (1963); Commun. Math. Phys.,18, 127 (1970).

    Google Scholar 

  6. J. L. Lebowitz and E. Presutti, Commun. Math. Phys.,50, 195 (1976).

    Google Scholar 

  7. J. Fröhlich and E. H. Lieb, Commun. Math. Phys.,45, 203 (1975).

    Google Scholar 

  8. J. Glimm, A. Jaffe, and T. Spencer, Commun. Math. Phys.,60, 233 (1976).

    Google Scholar 

  9. J. Fröhlich, R. Israel, E. N. Lieb, and B. Simon, Commun. Math. Phys.,62, 1 (1978).

    Google Scholar 

  10. J. Fröhlich, R. Israel, E. H. Lieb, and B. Simon, J. Stat. Phys.,2, 297 (1980).

    Google Scholar 

  11. R. L. Dobrushin and S. B. Shlosman, Sel. Math. Sov.,1, 317 (1981).

    Google Scholar 

  12. J. Rosen, “The Ising limit of the ϕ4 lattice fields,” Preprint, Rockfeller University (1976).

  13. F. Constantinescu and B. Ströter, J. Math. Phys.,21, 881 (1980).

    Google Scholar 

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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

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