Log in

Dimensional renormalization and the action principle

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

Abstract

Dimensional renormalization is defined in such a way that the renormalized action principle holds. It is shown that this leads to a minimal, additive renormalization. The derivation of Ward-Takahashi indentities and Callan-Symanzik equations from the action principle is exemplified.

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 (France)

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. t'Hooft, G., Veltman, M.: Nucl. Phys. B44, 189 (1972)

    Google Scholar 

  2. Bollini, C. G., Giambiagi, J. J.: Phys. Letters40 B, 566 (1972)

    Google Scholar 

  3. Cicuta, G. M., Montaldi, E.: Nuovo Cimento Letters4, 329 (1972)

    Google Scholar 

  4. Becchi, C., Rouet, A., Stora, R.: Broken Symmetries: Perturbation theory of renomalizable models. Lectures given at the International School of Elementary Particle Physics, Basco Polje, 1974

  5. t'Hooft, G., Veltman, M.: Diagrammar, CERN Report 73/9

  6. Hepp, K.: Renormalization theory in statistical mechanics and quantum field theory (Les Houches 1970), (C. de Witt, R. Stora eds.). New York: Gordon and Breach 1971

    Google Scholar 

  7. Speer, E. R.: J. Math. Phys.15, 1 (1974)

    Google Scholar 

  8. Collins, J. C.: Nucl. Phys. B92, 477 (1975)

    Google Scholar 

  9. Lam, Y. M. P.: Phys. Rev. D6, 2145 (1972)

    Google Scholar 

  10. Speer, E. R.: Generalized Feynman amplitudes. Princeton: Princeton University Press 1969

    Google Scholar 

  11. Speer, E. R., Westwater, M. J.: Ann. Inst. H. Poincaré14 A, 1 (1971)

    Google Scholar 

  12. Lowenstein, J. H.: Commun. math. Phys.24, 1 (1971)

    Google Scholar 

  13. Gelfand, I. M., Shilov, G. E.: Generalized functions, Vol. I. New York: Academic Press 1964

    Google Scholar 

  14. Bollini, C. G., Giambiagi, J. J.: Acta Phys. Acustriaca38, 211 (1973)

    Google Scholar 

  15. Zimmermann, W.: Commun. math. Phys.15, 208 (1969)

    Google Scholar 

  16. Lowenstein, J. H.: Seminars on Renormalization Theory, Vol. I., Maryland Technical Report 73–068 (1972)

  17. Gomez, M., Lowenstein, J. H.: Phys. Rev. D7, 550 (1973)

    Google Scholar 

  18. Nakanishi, N.: Graph theory and Feynman integrals. New York: Gordon and Breach 1971

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Communicated by K. Symanzik

Rights and permissions

Reprints and permissions

About this article

Cite this article

Breitenlohner, P., Maison, D. Dimensional renormalization and the action principle. Commun.Math. Phys. 52, 11–38 (1977). https://doi.org/10.1007/BF01609069

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01609069

Keywords

Navigation