Skip to main content
SpringerLink
Log in

Hierarchical vector model of a ferromagnet in the method of collective variables. The Lee-Yang theorem

  • Published:
Theoretical and Mathematical Physics Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Literature Cited

  1. I. R. Yukhnovskii and Yu. K. Rudavskii, Ukr. Fiz. Zh.,22, 50 (1977); I. R. Yukhnovskii, Ukr. Fiz. Zh.,22, 325, 484 (1977).

    Google Scholar 

  2. I. R. Yukhnovsky, “On general theory of second order phase transition,” Preprint ITP-83-6E [in English], Institute of Theoretical Physics, Kiev (1983).

    Google Scholar 

  3. I. R. Yukhnovskii, Teor. Mat. Fiz.,36, 373 (1978).

    Google Scholar 

  4. I. R. Yukhnovsky, I. A. Vakarchuk, and Yu. K. Rudavsky, “n-component model. Functional representation and differential form of equations of renormalization group,” Preprint ITP-79-20E [in English], Institute of Theoretical Physics, Kiev (1979).

    Google Scholar 

  5. Yu. V. Kozitskii and I. R. Yukhnovskii, Teor. Mat. Fiz.,51, 268 (1982).

    Google Scholar 

  6. F. J. Dyson, Commun. Math. Phys.,12, 91 (1969).

    Google Scholar 

  7. Ya. G. Sinai, Theory of Phase Transitions. Rigorous Results [in Russian], Nauka, Moscow (1980), p. 207.

    Google Scholar 

  8. R. L. Dobrushin, in: Multicomponent Random Systems [in Russian] (eds R. L. Dobrushin and Ya. G. Sinai), Nauka, Moscow (1978), pp. 179–213.

    Google Scholar 

  9. E. H. Lieb and A. D. Sokal, “A general Lee-Yang theorem for one-component and multicomponent ferromagnets,” Preprint, Princeton (1980).

  10. F. Dunlop and C. M. Newman, Commun. Math. Phys.,44, 223 (1975).

    Google Scholar 

  11. L. Iliev, Zeros of Entire Functions [in Bulgarian], Published by Bulgarian Academy of Sciences, Sofiya, (1979), p. 132.

    Google Scholar 

  12. J. L. W. V. Jensen, Acta Mathematica,36, 181 (1912–1913).

    Google Scholar 

  13. E. H. Lieb and A. D. Sokal, “Zeros of derivatives of polynomials in several complex variables,” Preprint, Princeton (1980).

  14. B. Simon, The P(ϕ)2 Model of Euclidean, Quantum Field Theory, Princeton, New Jersey (1974).

  15. B. Ya. Levin, Distribution of Zeros of Entire Functions, A. M. S. Providence R. I. (1964).

    Google Scholar 

Download references

Authors
  1. Yu. V. Kozitskii
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Institute of Theoretical Physics, Ukrainian SSR Academy of Sciences. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 58, No. 1, pp. 96–108, January, 1984.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kozitskii, Y.V. Hierarchical vector model of a ferromagnet in the method of collective variables. The Lee-Yang theorem. Theor Math Phys 58, 63–71 (1984). https://doi.org/10.1007/BF01031036

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01031036

Keywords

Search

Navigation