Skip to main content
SpringerLink
Log in

Convergence of perturbation series in field theory models containing fermions

  • 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. A. Jaffe, Commun. Math. Phys.,1, 127 (1966); C. A. Hurst, Proc. Roy. Soc. London,A214, 44 (1952); W. E. Thirring, Helv. Phys. Acta,26, 33 (1953); A. Peterman, Helv. Phys. Acta.,26, 291 (1953).

    Google Scholar 

  2. C. M. Bender and T. T. Wu, Phys. Rev.,184, 1231 (1969); J. J. Loeffel, A. Martin, B. Simon, and A. S. Wightman, Phys. Lett.,30B, 656 (1969); S. Graffi, V. Grecchi, and B. Simon, Phys. Lett.,30B, 631 (1970); B. Simon. Ann. of Phys.,58, 76 (1970).

    Google Scholar 

  3. B. Simon, Phys. Rev. Lett.,25, 1583 (1970).

    Google Scholar 

  4. D. Ya. Petrina, Izv. Akad. Nauk SSSR, Ser. Mat.,32, 1052 (1968); Doctoral Dissertation [in Russian], Institute of Mathematics, Academy of Sciences of the Ukrainian SSR, Kiev (1968).

    Google Scholar 

  5. D. Ya. Petrina, Preprints ITP-67-6, ITP-67-48 (Institute of Theoretical Physics, Kiev).

  6. S. S. Ivanov and D. Ya. Petrina, Dokl. Akad. Nauk SSSR,188, 776 (1969).

    Google Scholar 

  7. S. S. Ivanov, Preprint ITP-70-72 (Institute of Theoretical Physics, Kiev).

  8. D. Ya. Petrina and A. L. Rebenko, Preprint ITP-68-59.

  9. A. L. Rebenko, Preprint ITP-71-37E.

  10. E. R. Caianiello, Nuovo Cimento, 10, 1634 (1953);11, 493 (1954); D. R. Yennie and S. Gartenhaus, Nuovo Cimento,9, 59 (1958); W. M. Frank, J. Math. Phys.,5, 363 (1964).

    Google Scholar 

  11. B. Simon, Nuovo Cimento,59A, 199 (1969).

    Google Scholar 

  12. G. V. Efimov, Teor. Mat. Fiz.,2, 3 (1970); “Nonlocal quantum theory of a scalar field”, in: Problems in the Physics of Particles and Nuclei [in Russian], Vol. 1, No. 1, Atomizdat (1970), p. 225.

    Google Scholar 

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

  14. D. Ruelle, Nuovo Cimento,19, 356 (1961).

    Google Scholar 

  15. A. F. Berezin, The Method of Second Quantization (Pure and Appl. Physics, Vol. 24), New York (1966).

  16. E. Nelson, Ann. Math.,70, 572 (1959).

    Google Scholar 

  17. Y. Kato, Progr. Theor. Phys., 26, 99 (1961).

    Google Scholar 

  18. G. V. Efimov, Commun. Math. Phys.,7, 1938 (1968).

    Google Scholar 

Download references

Authors
  1. S. S. Ivanov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. L. Rebenko
    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 Ukranian SSSR. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 11, No. 2, pp. 190–202, May, 1972.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ivanov, S.S., Rebenko, A.L. Convergence of perturbation series in field theory models containing fermions. Theor Math Phys 11, 440–450 (1972). https://doi.org/10.1007/BF01028558

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01028558

Keywords

Search

Navigation