Skip to main content
Log in

Corrections to the asymptotic expressions for the higher orders of perturbation 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. L. N. Lipatov, Zh. Eksp. Teor. Fiz.,72, 411 (1977).

    Google Scholar 

  2. E. Brezin, J. C. Le Guillou, and J. Zinn-Justin, Phys. Rev. D,15, 1544 (1977).

    Google Scholar 

  3. T. Spencer, Commun. Math. Phys.,74, 273 (1980).

    Google Scholar 

  4. J. J. Loeffel and A. Martin, Cargese Lect. Phys.,5, 415 (1972).

    Google Scholar 

  5. G. Parisi, Phys. Lett. B,66, 167 (1977).

    Google Scholar 

  6. E. B. Bogomolny, Phys. Lett. B,67, 193 (1977).

    Google Scholar 

  7. F. M. Dittes, Yu. A. Kubyshin, and O. V. Tarasov, Teor. Mat. Fiz.,37, 66 (1978).

    Google Scholar 

  8. C. M. Bender and T. T. Wu, Phys. Rev. D,7, 1620 (1973); J. C. Collins and D. E. Soper, Ann. Phys. (N. Y.),112, 209 (1978).

    Google Scholar 

  9. V. R. Figerou, Commun. Math. Phys.,79, 401 (1981).

    Google Scholar 

  10. D. I. Kazakov, O. V. Tarasov, and D. V. Shirkov, Teor. Mat. Fiz.,38, 15 (1979).

    Google Scholar 

  11. N. N. Bogolyubov and D. V. Shirkov, Introduction to the Theory of Quantized Fields, Interscience (1959). (The reference is to p. 479 of the Russian edition published by Nauka (1976)).

  12. A. J. Mc Kane and D. J. Wallace, J. Phys. A,11, 2285 (1978); I. T. Drummond and G. M. Shore, Ann. Phys. (N. Y.),121, 204 (1979).

    Google Scholar 

  13. J. C. Dowker and R. Critchley, Phys. Rev. D,13, 224 (1976).

    Google Scholar 

  14. A. Érdelyi et al. (eds), Higher Transcendental Functions (California Institute of Technology H. Bateman M. S. Project), 3 vols., McGraw-Hill, New York (1953, 1955).

    Google Scholar 

  15. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products, Academic Press, New York (1965).

    Google Scholar 

Download references

Authors

Additional information

Joint Institute for Nuclear Research, Dubna. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 57, No. 3, pp. 363–372, December, 1983.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kubyshin, Y.A. Corrections to the asymptotic expressions for the higher orders of perturbation theory. Theor Math Phys 57, 1196–1202 (1983). https://doi.org/10.1007/BF01018746

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01018746

Keywords

Navigation