Skip to main content
SpringerLink
Log in

Two-dimensional model of the interaction of a nonrelativistic particle with scalar mesons in the strong-coupling limit

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

Conclusions

Bogolyubov transformations in strong-coupling theory lead to a singular Lagrangian containing constraints. Applying the Dirac formalism and a modified Feynman integral, we have succeeded in constructing an S matrix that correctly describes the symmetry properties of the system. The advantage of this method is that in such a formulation of the strong-coupling method it is not necessary, to construct the Hamiltonian, to fix a subsidiary condition from the very beginning, in contrast to what is done in [10] and other formulations.

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

Similar content being viewed by others

Literature Cited

  1. N. N. Bogolyubov, Selected Works in Three Volumes [in Russian], Naukova Dumka, Kiev (1970), p. 499.

    Google Scholar 

  2. E. P. Solodovnikova, A. N. Tavkhelidze, and O. A. Khrustalev, Teor. Mat. Fiz.,11, 317 (1972).

    Google Scholar 

  3. A. V. Razumov and O. A. Khrustalev, Teor. Mat. Fiz.,29, 300 (1976).

    Google Scholar 

  4. E. P. Solodovnikova, A. N. Tavkhelidze, and O. A. Khrustalev, Teor. Mat. Fiz.,10, 162 (1972); A. A. Arkhipov and N. E. Tyurin, Teor. Mat. Fiz.,17, 57 (1973); O. D. Timofeevskaya, N. E. Tyurin, and A. V. Shurgaya, Teor. Mat. Fiz.,17, 79 (1973).

    Google Scholar 

  5. N. H. Christ and T. D. Lee, Phys. Rev. D,12, 1606 (1975); E. Tomboulis, Phys. Rev. D,12, 1678 (1975).

    Google Scholar 

  6. G. L. Gervats and B. Sakita, Phys. Rev. D,11, 2943 (1975); J. L. Gervais, A. Jeviski, and B. Sakita, Phys. Rev. D,12, 1038 (1975); E. Tomboulis and G. Woo, Ann. Phys. (N.Y.),98, 1 (1976).

    Google Scholar 

  7. P. A. M. Dirac, Lectures on Quantum Mechanics, Belfer Graduate School of Science Monographs Series No. 2, Yeshiva University, New York (1964).

    Google Scholar 

  8. A. V. Shurgaya, Teor. Mat. Fiz.,45, 46 (1980).

    Google Scholar 

  9. A. A. Torotadze and A. V. Shurgaya, “The method of collective variables and the generalized Hamiltonian formalism in the two-body problem,” Preprint OTF 82-192 [in Russian], Theoretical Physics Section, Institute of High Energy Physics, Serpukhov (1982).

    Google Scholar 

  10. A. V. Razumov and A. Yu. Taranov, Teor. Mat. Fiz.35, 312 (1978).

    Google Scholar 

  11. L. D. Faddeev, Teor. Mat. Fiz.,1, 3, (1969).

    Google Scholar 

  12. F. A. Berezin, The Method of Second Quantization, New York (1966).

  13. L. D. Faddeev and V. E. Corepin, Phys. Rep. C,42, No. 1 (1978).

Download references

Authors
  1. A. A. Torotadze
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. V. Shurgaya
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Tbilisi State University; A. M. Razmadze Mathematics Institute, Georgian SSR Academy of Sciences, Tbilisi. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 76, No. 2, pp. 231–241, August, 1988.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Torotadze, A.A., Shurgaya, A.V. Two-dimensional model of the interaction of a nonrelativistic particle with scalar mesons in the strong-coupling limit. Theor Math Phys 76, 826–833 (1988). https://doi.org/10.1007/BF01028582

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01028582

Keywords

Search

Navigation