Log in

Local field equation forA 4-coupling in renormalized perturbation theory

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

Abstract

For the model ofA 4-coupling a finite form of the local field equation is proposed and checked in renormalized perturbation theory.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price includes VAT (Brazil)

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Haag, R.: Dan. Mat. Fys. Medd.29, no. 12 (1955).

  2. Lehmann, H., K. Symanzik, andW. Zimmermann: Nuovo Cimento11, 205 (1955).

    Google Scholar 

  3. Wightman, A. S.: Phys. Rev.101, 860 (1965).

    Google Scholar 

  4. Steinmann, O.: Ann. Phys.29, 76 (1964) and36, 267 (1966). This paper contains earlier references.

    Google Scholar 

  5. Valatin, J.: Proc. Roy. Soc. A,225, 535 and226, 254 (1954).

    Google Scholar 

  6. Symanzik, K.: In: Lectures on High Energy Physics. p. 485. Zagreb: Federal Nuclear Energy Commission of Yogoslavia 1961.

    Google Scholar 

  7. Wu, T. T.: Phys. Rev.125, 1436 (1962).

    Google Scholar 

  8. Symanzik, K.: J. Math. Phys.7, 510 (1966).

    Google Scholar 

  9. Haag, R., andG. Luzzato: Nuovo Cimento13, 415 (1959).

    Google Scholar 

  10. Federbush, P.: Progr. Theor. Phys.26, 148 (1961).

    Google Scholar 

  11. Johnson, K.: Nuovo Cimento20, 773 (1961).

    Google Scholar 

  12. Schwabl, F., W. Thirring, andJ. Wess: To be published.

  13. Lehmann, H.: Unpublished.

  14. Wilson, K. G.: Cornell University report 1964.

  15. Zimmermann, W.: Unpublished.

  16. Hepp, K.: Commun. Math. Phys.1, 59 (1956).

    Google Scholar 

  17. Källen, G.: Arkiv Physik2, 371 (1950).

    Google Scholar 

  18. Rollnik, H., B. Steoh, andE. Nunnemann: Z. Physik159, 482 (1960).

    Google Scholar 

  19. Dyson, F. J.: Phys. Rev.75, 1736 (1949).

    Google Scholar 

  20. Salam, A.: Phys. Rev.82, 217 and84, 426 (1951).

    Google Scholar 

  21. Ward, J. C.: Proc. Phys. Soc. London A64, 54 (1951).

    Google Scholar 

  22. Bogoliubov, N. N., andD. W. Shirkov: Uspechi fiz. Nauk55, 149 (1955) translated into German in Fortschr. Phys.4, 438 (1956).

    Google Scholar 

  23. —— andO. Parasiuk: Acta Math.97, 227 (1957).

    Google Scholar 

  24. —— andD. W. Shirkov: Introduction to the theory of quantized fields. New York: Interscience Publ. 1959.

    Google Scholar 

  25. Hepp, K.: Commun. Math. Phys.2, 301 (1966).

    Google Scholar 

  26. Brandt, R. A.: University of Maryland, technical report no. 646 (1966).

  27. Zimmermann, W.: to be published.

  28. Garding, L., andA. Wightman: Arikiv Fys.82, no. 2 (1965).

Download references

Author information

Authors and Affiliations

Authors

Additional information

The research reported in this paper was supported in part by the National Science Foundation.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zimmermann, W. Local field equation forA 4-coupling in renormalized perturbation theory. Commun.Math. Phys. 6, 161–188 (1967). https://doi.org/10.1007/BF01659974

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01659974

Keywords

Navigation