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New proofs of long range order

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Part of the book series: Lecture Notes in Physics ((LNP,volume 80))

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References

  1. J. Fröhlich, B. Simon and T. Spencer, Plays. Rev. Lett. 36, 804 (1976); Commun. Math. Phys. 50, 79 (1976).

    Article  Google Scholar 

  2. F. Dyson, E. Lieb and B. Simon, Phys. Rev. Lett. 37, 120 (1976) and J. Stat. Phys. (to appear).

    Google Scholar 

  3. J. Fröhlich, R. Israel, E. Lieb and B. Simon, in preparation.

    Google Scholar 

  4. J. Fröhlich and E. Lieb, Phys. Rev. Lett. 38, 440 (1977), and paper in preparation.

    Google Scholar 

  5. O. Heilmann and E. Lieb, Lattice Models for Liquid Crystals,in preparation.

    Google Scholar 

  6. O. Heilmann, Commun. Math. Phys. 36, 91 (1974); Lett. Nuovo Cim. 3 95 (7-972)

    Google Scholar 

  7. N. Mermin and H. Wagner, Phys. Rev. Lett. 17, 113 (1966); N. Mermin, J. Math. Phys. 8 1061 (1967).

    Google Scholar 

  8. P. Hohenberg, Phys. Rev. 158, 383 (1967).

    Google Scholar 

  9. L. Van Hove, Physica 16, 137 (1950).

    Google Scholar 

  10. F. Dyson, Commun. Math. Phys. 12, 91 (1969) and 21, 269 (1971).

    Google Scholar 

  11. R. Peierls, Proc. Camb. Phil Soc. 32, 477 (1936).

    Google Scholar 

  12. S. Malyshev, Commun. Math. Phys. 40, 75 (1975).

    Google Scholar 

  13. A. Bortz and R. Griffiths, Commun. Math. Phys. 26, 102 (1972).

    Google Scholar 

  14. J. Ginibre, Commun. Math. Phys. 14, 205 (1969).

    Google Scholar 

  15. D. Robinson, Commun. Math. Phys. 14, 195 (1969).

    Google Scholar 

  16. E. Lieb, Commun. Math. Phys. 31, 327 (1973).

    Google Scholar 

  17. R. Dobrushin, Funct. Anal. Appl. 2, 44 (1968); Engl. Trans. 2, 302 (1968).

    Google Scholar 

  18. K. Osterwalder and R. Schrader, Helv. Phys. Acta 46, 277 (1973); Commun. Math. Phys. 31, 83 (1973).

    Google Scholar 

  19. E. Nelson, in Constructive Quantum Field Theory, G. Velo and A. Wightman eds., Springer (1973).

    Google Scholar 

  20. J. Glimm, A. Jaffe and T. Spencer, Commun. Math. Phys. 45, 203 (1975).

    Google Scholar 

  21. H. Falls and D. W. Brach, Phys. Rev. 180, 442 (1969).

    Google Scholar 

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G. Dell'Antonio S. Doplicher G. Jona-Lasinio

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© 1978 Springer-Verlag

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Lieb, E.H. (1978). New proofs of long range order. In: Dell'Antonio, G., Doplicher, S., Jona-Lasinio, G. (eds) Mathematical Problems in Theoretical Physics. Lecture Notes in Physics, vol 80. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-08853-9_5

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  • DOI: https://doi.org/10.1007/3-540-08853-9_5

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  • Print ISBN: 978-3-540-08853-0

  • Online ISBN: 978-3-540-35811-4

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