SpringerLink
Log in

Convergence theorems for renormalized Feynman integrals with zero-mass propagators

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

Abstract

A general momentum-space subtraction procedure is proposed for the removal of both ultraviolet and infrared divergences of Feynman integrals. Convergence theorems are proved which allow one to define time-ordered Green functions, as tempered distributions, for a wide class of theories with zero-mass propagators.

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

Access this article

Log in via an institution

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

    Google Scholar 

  2. Zimmermann, W.: Commun. math. Phys.11, 1 (1969)

    Google Scholar 

  3. Lowenstein, J. H., Zimmermann, W.: Nucl. Phys. B86, 77 (1975)

    Google Scholar 

  4. Gomes, M., Schroer, B.: Phys. Rev. D10, 3525 (1974)

    Google Scholar 

  5. Lowenstein, J. H., Zimmermann, W.: Infrared Convergence of Feynman Integrals for the Massless A4-Model, Max-Planck-Institut preprint MPI-PAE/PTh 5/75

  6. Clark, T.: The Abelian Higgs Model in the Landau Gauge, Max-Planck-Institut preprint MPI-PAE/PTh 27/74

  7. Lowenstein, J. H., Zimmermann, W.: Commun. math. Phys.44, 73 (1975)

    Google Scholar 

  8. Lowenstein, J. H., Speer, E.: New York University preprint NYP/TR 5/75

  9. Clark, T., Lowenstein, J.H.: in preparation

  10. Lowenstein, J. H.: New York University preprint NYU/TR 3/75

  11. Becchi, C.: to be published

  12. Clark, T., Rouet, A.: Proof of the Slavnov Identities in the Renormalized Georgi-Glashow Model, Max-Planck-Institut preprint MPI-PAE/PTh 17/75, in preparation

  13. Gomes, M., Lowenstein, J. H., Zimmermann, W.: Commun. math. Phys.39, 81 (1964)

    Google Scholar 

Download references

Author information

Author notes

  1. J. H. Lowenstein

    Present address: Physics Department, New York University, 10003, New York, N.Y., USA

Authors and Affiliations

  1. Max-Planck-Institut für Physik und Astrophysik, D-8000, München, Federal Republic of Germany

    J. H. Lowenstein

Authors
  1. J. H. Lowenstein
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Communicated by K. Symanzik

Research supported in part by National Science Foundation Grant MPS-74-21778.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lowenstein, J.H. Convergence theorems for renormalized Feynman integrals with zero-mass propagators. Commun.Math. Phys. 47, 53–68 (1976). https://doi.org/10.1007/BF01609353

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01609353

Keywords

Search

Navigation