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Communications in Mathematical Physics

, Volume 67, Issue 1, pp 51–67 | Cite as

Decay of a Yang-Mills field coupled to a scalar field

  • Robert T. Glassey
  • Walter A. Strauss
Article

Abstract

Consider a gauge fieldF and a scalar field φ with a self-couplingV(φ) as well as the standard coupling betweenF and φ. If 0≦2V(φ)≦φ·V′(φ), there are no classical lumps. IfV(φ)=|φ|4 the system is conformally invariant and all the energy radiates out along the light cone.

Keywords

Neural Network Statistical Physic Complex System Nonlinear Dynamics Scalar Field 
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

  1. 1.
    Glassey, R.T., Strauss, W.A.: Decay of classical Yang-Mills fields. Commun. Math. Phys.65, 1–13 (1979)Google Scholar
  2. 2.
    Morawetz, C.S.: Time decay for the nonlinear Klein-Gordon equation. Proc. R. Soc. A306, 291–296 (1968)Google Scholar
  3. 3.
    Strauss, W.A.: Nonlinear invariant wave equations. In: Lecture notes in physics, Vol. 73, pp. 197–249. Berlin, Heidelberg, New York: Springer 1978Google Scholar

Copyright information

© Springer-Verlag 1979

Authors and Affiliations

  • Robert T. Glassey
    • 1
  • Walter A. Strauss
    • 2
  1. 1.Department of MathematicsIndiana UniversityBloomingtonUSA
  2. 2.Department of MathematicsBrown UniversityProvidenceUSA

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