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Communications in Mathematical Physics

, Volume 17, Issue 3, pp 179–193 | Cite as

Boson fields with bounded interaction densities

  • Raphael Höegh-Krohn
Article

Abstract

We consider interaction densities of the formV(φ(x)), where φ(x) is a scalar boson field andV(α) is a bounded real continuous function. We define the cut-off interaction by\(V_{\varepsilon ,r} = \int\limits_{\left| x \right|< r} {V(\phi _E (x))} \), where φE(x) is the momentum cut-off field. We prove that the scattering operator Sεr(V) corresponding to the cut-off interaction exists, and we study the behavior of the scattering operator as well as the Heisenberg picture fields, as the cut-off is removed.

Keywords

Neural Network Statistical Physic Continuous Function Complex System Nonlinear Dynamics 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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Copyright information

© Springer-Verlag 1970

Authors and Affiliations

  • Raphael Höegh-Krohn
    • 1
  1. 1.Joseph Henry LaboratoriesPrinceton UniversityPrinceton

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