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

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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.

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References

  1. Glassey, R.T., Strauss, W.A.: Decay of classical Yang-Mills fields. Commun. Math. Phys.65, 1–13 (1979)

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Authors and Affiliations

  1. Department of Mathematics, Indiana University, 47401, Bloomington, Indiana, USA

    Robert T. Glassey

  2. Department of Mathematics, Brown University, 02912, Providence, Rhode Island, USA

    Walter A. Strauss

Authors
  1. Robert T. Glassey
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  2. Walter A. Strauss
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Additional information

Communicated by A. Jaffe

Research supported in part by NSF grants MCS 77-01340 and MCS 78-03567

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Glassey, R.T., Strauss, W.A. Decay of a Yang-Mills field coupled to a scalar field. Commun.Math. Phys. 67, 51–67 (1979). https://doi.org/10.1007/BF01223200

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  • DOI: https://doi.org/10.1007/BF01223200

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