Skip to main content
SpringerLink
Log in

Approximate renormalization group transformation in the theory of phase transitions. I. Differential equation of the renormalization group

  • 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. N. N. Bogolyubov and D. V. Shirkov, Introduction to the Theory of Quantized Fields, Interscience (1959).

  2. K. G. Wilson and J. Kogut, “The renormalization group and the ε expansion,” Phys. Rep. Phys. Lett. C.12, No. 2, 75–100 (1974).

    Google Scholar 

  3. H. E. Stanley, Introduction to Phase Transitions and Critical Phenomena, Oxford (1971).

  4. R. Brout, Phys. Rep.C 10, 2 (1974).

    Google Scholar 

  5. A. Z. Patashinskii and V. L. Pokrovskii, Fluctuation Theory of Phase Transitions [in Russian], Nauka, Moscow (1975).

    Google Scholar 

  6. H. E. Stanley, Phys. Rev. Lett.,20, 150 (1968); Phys. Rev.,176, 718 (1968).

    Google Scholar 

  7. I. R. Yukhnovsky, I. A. Vakarchuk, and Yu. K. Rudavsky, Preprint ITP-79-20E [in English], Institute of Theoretical Physics, Kiev (1979).

  8. I. A. Vakarchuk and Yu. K. Rudavsky, Preprint ITP-79-47E [in English], Institute of Theoretical Physics, Kiev (1979).

  9. I. A. Vakarchuk, Teor. Mat. Fiz.,35, 76 (1978);36, 122 (1978).

    Google Scholar 

  10. I. A. Vakarchuk and Yu. K. Rudavsky, Preprint ITP-79-62E [in English], Institute of Theoretical Physics, Kiev (1979).

  11. T. H. Berlin and M. Kac, Phys. Rev.,86, 821 (1952).

    Google Scholar 

  12. S.-K. Ma, Modern Theory of Critical Phenomena, Benjamin, New York (1976).

    Google Scholar 

  13. A. Z. Patashinskii and V. L. Pokrovskii, Usp. Mat. Nauk,121, 55 (1977).

    Google Scholar 

  14. I. R. Yukhnovskii, Preprint ITF-76-15R [in Russian], Institute of Theoretical Physics, Kiev (1976); Dokl. Akad. Nauk SSSR,232, 312 (1977); Ukr. Fiz. Zh.,22, 325, 484 (1977); Teor. Mat. Fiz.,36, 373 (1978).

Download references

Authors
  1. I. A. Vakarchuk
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Yu. K. Rudavskii
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. I. R. Yukhnovskii
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Institute of Theoretical Physics, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 50, No. 2, pp. 313–320, February, 1982.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Vakarchuk, I.A., Rudavskii, Y.K. & Yukhnovskii, I.R. Approximate renormalization group transformation in the theory of phase transitions. I. Differential equation of the renormalization group. Theor Math Phys 50, 204–209 (1982). https://doi.org/10.1007/BF01015303

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01015303

Keywords

Search

Navigation