Skip to main content
SpringerLink
Log in

On the interaction picture

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

Abstract

It is shown that the difficulties connected with Haag's theorem can be bypassed, without losing Euclidean invariance, if the time evolution is considered as being only locally unitarily implementable.

A variant of the conventional interaction picture is defined, and a perturbation expansion derived which is shown to converge absolutely for a class of (non-trivial) Euclidean invariant 2-dimensional models.

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. Wightman, A. S.: Lecture notes, Cargese 1964.

  2. Araki, H.: Lecture notes, Zürich ETH, 1962. To be published by Benjamin, New York.

  3. Haag, R., andD. Kastler: J. Math. Phys.5, 848 (1964).

    Google Scholar 

  4. Borchers, H.: Commun. Math. Phys.1, 57 (1965).

    Google Scholar 

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

    Google Scholar 

  6. Araki, H.: J. Math. Phys.5, 1 (1964).

    Google Scholar 

  7. Streater, R., andA. S. Wightman: PCT, spin and statistics and all that. New York: Benjamin 1964.

    Google Scholar 

  8. Guenin, M.: J. Math. Phys.7, 271 (1966).

    Google Scholar 

  9. --, andB. Misra: Representation independence of Haag's fields. Unpublished (1963).

  10. Misra, B.: Helv. Phys. Acta38, 189 (1965).

    Google Scholar 

  11. Feldman, J., andJ. Fell: Ann. Math.65, 241 (1957).

    Google Scholar 

  12. Kadison, R.: J. Math. Phys.4, 1911 (1963).

    Google Scholar 

  13. Guenin, M., andB. Misra: Nuovo Cimento30, 1272 (1963).

    Google Scholar 

  14. Doplicher, S.: Thesis, Rome, 1963 (unpublished).

  15. Dixmier, I.: Les algèbres d'opérateurs dans l'espace Hilbertien. Paris: Gauthier-Villars 1957.

    Google Scholar 

  16. Araki, H.: Prog. Theor. Phys.32, 956 (1964).

    Google Scholar 

  17. Dyson, F.: Phys. Rev.82, 428 (1951).

    Google Scholar 

  18. Segal, I.: Illinois J. Math.6, 500 (1962).

    Google Scholar 

  19. Streater, R.: Spontaneous breakdown of symmetry in axiomatic field theory, preprint.

  20. Guenin, M., andG. Velo: Automorphisms and broken symmetries, preprint.

  21. Kastler, D., D. Robinson, andA. Swieca: Conserved currents and associated symmetries; Goldstone's theorem. Commun. Math. Phys.2, 108–120 (1966).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Palmer Physical Laboratory, Princeton University, Princeton, N.J.

    Marcel Guenin

Authors
  1. Marcel Guenin
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Research supported in part by the U.S. Air Force Office of Research, Air Research and Development Command.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Guenin, M. On the interaction picture. Commun.Math. Phys. 3, 120–132 (1966). https://doi.org/10.1007/BF01645449

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01645449

Keywords

Search

Navigation