Skip to main content
SpringerLink
Log in

On the superpropagator of fields with exponential coupling

  • Published:
Communications in Mathematical Physics Aims and scope Submit manuscript

Abstract

We define the vacuum expectation value of the time-ordered product of two exponentials of free fields as a distribution using minimal singularity as a criterion. The implication of this definition for an exponentially self-coupled scalar field is studied in second order of a perturbation expansion.

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

References

  1. Okubo, S.: Prog. Theor. Phys.11, 80 (1954).

    Google Scholar 

  2. Volkov, M. K.: Commun. Math. Phys.7, 289 (1968) and15, 69 (1969).

    Google Scholar 

  3. Filippov, A. T.: Partial symmetry, equivalence theorems and calculation of higher orders in non-renormalizable field theory. DUBNA preprint (1968).

  4. Efimov, G. V.: Review of methods in non-linear quantum field theory. CERN preprint (1969) and references quoted there.

  5. Delbourgo, R., Salam, A., Strathdee, J.: Phys. Rev.187, 1999 (1969); Salam, A.: Nonpolynomial Lagrangian theories, Trieste preprint (1970), to appear in the Proceedings of the Coral Gables Conference 1970.

    Google Scholar 

  6. Lee, B. W., Zumino, B.: Nuclear Phys. B13, 671 (1969).

    Google Scholar 

  7. Keck, B. W., Taylor, J. G.: Renormalization of non-polynomial Lagrangians. University of Southampton preprint (1970).

  8. Jaffe, A.: Phys. Rev. Letters17, 661 (1966), Phys. Rev.158, 1454 (1967).

    Google Scholar 

  9. Wightman, A. S.: Phys. Rev.101, 860 (1956).

    Google Scholar 

  10. Gelfand, I. M., Schilow, G. E.: Verallgemeinerte Funktionen I. Berlin: VEB Deutscher Verlag der Wissenschaften 1960.

    Google Scholar 

  11. Karowski, M.: To be published.

  12. Erdélyi, A.: Higher transcendental functions, Vol. I. New York: McGraw-Hill, Inc. 1953.

    Google Scholar 

  13. Bogoliubov, N. N., Shirkov, D. V.: Introduction to the theory of quantized fields. New York: Interscience Publ., Inc. 1959

    Google Scholar 

  14. Lehmann, H., Pohlmeyer, K.: To appear in the Proceedings of the Second International Symposium on non-local Quantum Field Theory, Azau, USSR (1970).

  15. Epstein, H., Glaser, V., Martin, A.: Commun. Math. Phys.13, 257 (1969).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. II. Institut für Theoretische Physik der Universität Hamburg, Germany

    H. Lehmann & K. Pohlmeyer

Authors
  1. H. Lehmann
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. K. Pohlmeyer
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lehmann, H., Pohlmeyer, K. On the superpropagator of fields with exponential coupling. Commun.Math. Phys. 20, 101–110 (1971). https://doi.org/10.1007/BF01646529

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01646529

Keywords

Search

Navigation