Skip to main content
SpringerLink
Log in

On the spectrum of the space cut-off :P(ϕ):Hamiltonian in two space-time dimensions

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

Abstract

We use the method of the asymptotic fields to study the spectrum of the space cut-off :P(ϕ): Hamiltonian in two space time dimensions, whereP is a semibounded polynomial.

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

We’re sorry, something doesn't seem to be working properly.

Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.

References

  1. Glimm, J.: Boson fields with non-linear self-interaction in two dimensions. Commun. math. Phys.8, 12 (1968).

    Google Scholar 

  2. —— Jaffe, A.: A λϕ4 quantum field theory without cut-offs, I. Phys. Rev.176, 1945 (1968).

    Google Scholar 

  3. Høegh-Krohn, R.: Asymptotic limits in some models of quantum field theory, I. J. Math. Phys.9, 2075 (1968).

    Google Scholar 

  4. -- Asymptotic limits in some models of quantum field theory, II. J. Math. Phys.

  5. —— Asymptotic limits in some models of quantum field theory, III. J. Math. Phys.10, 639 (1969).

    Google Scholar 

  6. —— Boson fields under a general class of cut-off interactions. Commun. math. Phys.12, 216 (1969).

    Google Scholar 

  7. —— On the scattering matrix for quantum fields. Commun. math. Phys.18, 109 (1970).

    Google Scholar 

  8. Rosen, L.: A λϕ2n field theory without cut-offs. Commun. math. Phys.16, 157 (1970).

    Google Scholar 

  9. -- Preprint, New York University.

Download references

Author information

Authors and Affiliations

  1. Joseph Henry Laboratories, Princeton University, Princeton, New Jersey

    Raphael Høegh-Krohn

  2. Matematisk Institutt, Universitetet I Oslo, Blindern, Postboks 1053, Oslo 3, Norway

    Raphael Høegh-Krohn

Authors
  1. Raphael Høegh-Krohn
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

This research is partially sponsored by the Air Force Office of Scientific Research under Contract AF 49(638)1545.

On leave from Matematisk Institutt, Oslo University, Norway.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Høegh-Krohn, R. On the spectrum of the space cut-off :P(ϕ):Hamiltonian in two space-time dimensions. Commun.Math. Phys. 21, 256–260 (1971). https://doi.org/10.1007/BF01647123

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01647123

Keywords

Search

Navigation