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The particle structure ofv-dimensional Ising models at low temperatures

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Abstract

In this work we study thev-dimensional Ising model at low temperatures and establish the existence of an upper gap in the energy-momentum spectrum of the two-point function forv≧3. Forv=2, it is known that this gap is absent.

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References

  1. Burnap, C.A.: Thesis, Harvard University (1976)

  2. Brascamp, H.J., Kunz, H.: Commun. math. Phys.32, 93 (1973)

    Google Scholar 

  3. Camp, W.J.: Phys. Rev. B6, 960 (1972);7, 3187 (1973)

    Google Scholar 

  4. Camp, W.J., Fisher, M.E.: Phys. Rev. B6, 946 (1972)

    Google Scholar 

  5. Donoghue, Jr., W.: Monotone matrix functions and analytic continuation. Berlin-Heidelberg-New York: Springer 1974

    Google Scholar 

  6. Glimm, J., Jaffe, A.: Functional integral methods in quantum field theory. To be published in the 1976 Cargese lectures volume

  7. Glimm, J., Jaffe, A., Spencer, T.: The particle structure of the weakly coupledP(φ)2 model. In: Constructive quantum field theory. Lecture notes in physics, Vol. 25. Berlin-Heidelberg-New York: Springer 1973

    Google Scholar 

  8. Gunning, R.C., Rossi, H.: Analytic functions of several complex variables. New Jersey: Prentice-Hall, Inc. 1965

    Google Scholar 

  9. Minlos, R.A., Sinai, Ja.G.: Trans. Moscow Math. Soc.17, 237 (1967);19, 121 (1968)

    Google Scholar 

  10. Osterwalder, K., Schrader, R.: Commun. math. Phys.31, 83 (1973);42, 281 (1975)

    Google Scholar 

  11. Paes-Leme, P.J.: Thesis, New York University (1977)

  12. Ruelle, D.: Statistical mechanics. New York: Benjamin 1969

    Google Scholar 

  13. Spencer, T.: Commun. math. Phys.44, 143 (1975)

    Google Scholar 

  14. Schor, R.: Thesis, New York University (1977)

  15. Spencer, T., Zirilli, F.: Commun. math. Phys.49, 1 (1976)

    Google Scholar 

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Authors and Affiliations

  1. Rockefeller University, 10021, New York, NY, USA

    Ricardo Schwartz Schor

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  1. Ricardo Schwartz Schor
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Communicated by A. Jaffe

Supported in part by Conselho Nacional de Pesquisas (CNPq-Brazil), Universidade Federal de Minas Gerais (Brazil) and the National Science Foundation under Grant PHY76-17191

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Schor, R.S. The particle structure ofv-dimensional Ising models at low temperatures. Commun.Math. Phys. 59, 213–233 (1978). https://doi.org/10.1007/BF01611504

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  • DOI: https://doi.org/10.1007/BF01611504

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