Skip to main content
Log in

On the convergence of perturbation series: theS matrix of the non linear sigma model

  • Published:
Zeitschrift für Physik C Particles and Fields

Abstract

The factorization of nonperturbative effects in theS matrix of the non linear sigma model is investigated. We prove that, in each order of 1/N, theS matrix amplitudes can be written as a series in power of a dinamically generated mass times a convergent perturbative series.

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.

Similar content being viewed by others

References

  1. F. Dyson: Phys. Rev. 85 (1952) 631; A. Jaffe: Commun. Math. Phys. 1 (1965) 127

    Google Scholar 

  2. B. Simon: Int. J. Quantum Chem. 21 (1982) 3, and references therein

    Google Scholar 

  3. G. 't Hofft: Erice Lecture (1977), Zichichi (ed.) (1978)

  4. M.A. Shifman, A.I. Vainshtein, V.I. Zakharov: Nucl. Phys. B147 (1979) 385, 447, 519; M.A. Shifman, A.I. Vainshtein, M.B. Voloshin, V.I. Zakharov: Phys. Lett. 77B (1978) 80

    Google Scholar 

  5. F. David: Nucl. Phys. B209 (1982) 433; B234 (1984) 237; V.I. Novikov, M.A. Shifman, A.I. Vainshtein, V.I. Zakharov: Phys. Rep. 116 (1984) 103

    Google Scholar 

  6. A.B. Zamolodchikov, A.B. Zamolochikov: Ann. Phys. 120 (1979) 253; B. Berg, M. Karowski, P. Weisz, V. Kurak: Nucl. Phys. B134 (1978) 125

    Google Scholar 

  7. Bateman Manuscript Project Volume 1 pag. 21

  8. C. Rim, W.I. Weisberger: Phys. Rev. D30 (1984) 1763

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

This work was partially supported by (1) FAPESP and (2) CNPq

Rights and permissions

Reprints and permissions

About this article

Cite this article

Brunelli, J.C., Gomes, M. On the convergence of perturbation series: theS matrix of the non linear sigma model. Z. Phys. C - Particles and Fields 42, 649–652 (1989). https://doi.org/10.1007/BF01557671

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01557671

Keywords

Navigation