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Action minima among solutions to a class of Euclidean scalar field equations

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Abstract

We show that for a wide class of Euclidean scalar field equations, there exist non-trivial solutions, and the non-trivial solution of lowest action is spherically symmetric. This fills a gap in a recent analysis of vacuum decay by one of us.

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References

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Author notes

  1. S. Coleman

    Present address: Lyman Laboratory of Physics, Harvard University, 02138, Cambridge, MA, USA

Authors and Affiliations

  1. CERN, CH-Geneva, Switzerland

    S. Coleman, V. Glaser & A. Martin

Authors
  1. S. Coleman
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  2. V. Glaser
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  3. A. Martin
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Additional information

Communicated by A. Jaffe

Work supported in part by the US National Science Foundation under grant Nr. PHY75-20427

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Coleman, S., Glaser, V. & Martin, A. Action minima among solutions to a class of Euclidean scalar field equations. Commun.Math. Phys. 58, 211–221 (1978). https://doi.org/10.1007/BF01609421

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  • DOI: https://doi.org/10.1007/BF01609421

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