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


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.


Neural Network Statistical Physic Complex System Nonlinear Dynamics Scalar Field 
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  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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