Skip to main content
Log in

High-temperature behavior of the partition function for theP(ϕ)2 model of Euclidean field theory

  • 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

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

Instant access to the full article PDF.

Literature Cited

  1. V. V. Borzov, Teor. Mat. Fiz.,57, 373 (1983).

    Google Scholar 

  2. V. V. Borzov, in: Differential Equations. Scattering Theory [in Russian], Leningrad State University, Leningrad (1986), p. 59.

    Google Scholar 

  3. D. Ray, Trans. Am. Math. Soc.,77, 299 (1954).

    Google Scholar 

  4. M. Sh. Birman and M. Z. Solomyak, in: Mathematical Analysis. Reviews of Science and Technology, Vol. 14 [in Russian], VINITI, Moscow (1976), p. 5.

    Google Scholar 

  5. M. Reed and B. Simon, Methods of Modern Mathematical Physics, Vol. 2, Academic Press, New York (1975).

    Google Scholar 

  6. B. Simon, TheP(ϕ)2 Model of Euclidean Quantum Field Theory, Princeton, New Jersey (1974).

  7. I. M. Gel'fand and A. M. Yaglom, Usp. Mat. Nauk,11, 77 (1956).

    Google Scholar 

  8. V. V. Borzov, Mat. Zam.,26, 547 (1979).

    Google Scholar 

  9. R. Hoegh-Krohn, Commun. Math. Phys.,38, 195 (1974).

    Google Scholar 

  10. A. E. Ingham, Ann. Math.,42, 1075 (1941).

    Google Scholar 

  11. G. Guera, L. Rosen, and B. Simon, Ann. Math.,101, 111 (1975).

    Google Scholar 

  12. N. M. Bogolyubov, V. F. Brattsev, A. N. Vasil'ev, A. L. Korzhenevskii, and R. A. Radzhabov, Teor. Mat. Fiz.,26, 341 (1976).

    Google Scholar 

  13. M. Fisher, The Nature of the Critical State [Russian translation], Mir, Moscow (1968).

    Google Scholar 

  14. G. M. Fikhtengol'ts, Course of Differential and Integral Calculus, Vol. 3 [in Russian], Nauka, Moscow (1966).

    Google Scholar 

  15. M. A. Evgrafov, Asymptotic Estimates and Entire Functions [in Russian], Nauka, Moscow (1979).

    Google Scholar 

Download references

Authors

Additional information

M. A. Bonch-Bruevich Electrical Engineering Institute of Communications, Leningrad. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 76, No. 3, pp. 328–338, September, 1988.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Borzov, V.V. High-temperature behavior of the partition function for theP(ϕ)2 model of Euclidean field theory. Theor Math Phys 76, 895–903 (1988). https://doi.org/10.1007/BF01016851

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01016851

Keywords

Navigation