Skip to main content
SpringerLink
Log in

Local algebras of observables and pointlike localized fields

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

Abstract

We present a method to recover Wightman fields from a Haag-Kastler theory of local observables. This may provide a basis for the comparison of different theories and for an algebraic description of high energy behaviour.

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. Haag, R., Kastler, D.: J. Math. Phys.5, 848–261 (1964)

    Google Scholar 

  2. Haag, R.: Phys. Rev.112, 669 (1958)

    Google Scholar 

  3. Ruelle, D.: Helv. Phys. Acta35, 147 (1962)

    Google Scholar 

  4. Doplicher, S., Haag, R., Roberts, J.: Commun. Math. Phys.23, 199–230 and35, 49–85 (1974)

    Google Scholar 

  5. Wightman, A.S.: Ann. Inst. Poincaré,1A, 403–420 (1964)

    Google Scholar 

  6. Reed, M., Simon, B.: Methods of modern mathematical physics. II. New York: Academic Press, Inc. 1975

    Google Scholar 

  7. Bratteli, O., Robinson, D.W.: Operator algebras and quantum statistical mechanics. I. New York: Springer 1979

    Google Scholar 

  8. Kato, T.: Perturbation theory for linear operators. Berlin, Heidelberg, New York: Springer 1966

    Google Scholar 

  9. Buchholz, D., Fredenhagen, K.: Locality and the structure of particle states in relativistic quantum field theory (to be published)

  10. Mack, G.: Commun. Math. Phys.53, 155–184 (1977)

    Google Scholar 

  11. Wilson, K.: Phys. Rev.179, 1499 (1969)

    Google Scholar 

  12. Hertel, J.: Lokale Quantentheorie und Felder am Punkt. Thesis, Hamburg 1980

  13. Haag, R.: Ann. Phys.11, 29–34 (1963)

    Google Scholar 

  14. Dixmièr, J.: Les algebrès d'operateurs. Paris: Gauthier-Villars 1969

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Fakultät für Physik, Universität Freiburg, D-7800, Freiburg i. Br., Germany

    Klaus Fredenhagen

  2. Nordseeklinik Kaiserhof, D-2972, Borkum, Germany

    Joachim Hertel

Authors
  1. Klaus Fredenhagen
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Joachim Hertel
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Communicated by R. Haag

On leave of absence from II. Institut für Theoretische Physik, Hamburg, D-2000 Hamburg 50, Federal Republic of Germany

Rights and permissions

Reprints and permissions

About this article

Cite this article

Fredenhagen, K., Hertel, J. Local algebras of observables and pointlike localized fields. Commun.Math. Phys. 80, 555–561 (1981). https://doi.org/10.1007/BF01941663

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01941663

Keywords

Search

Navigation