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On multivortices in the electroweak theory II: Existence of Bogomol'nyi solutions in ℝ2

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Abstract

In this paper we study the Bogomol'nyi equations of the electroweak theory in the full plane. We will show that, for any distribution of the vortices, there exists a two parameter family of gauge-distinct solutions. Moreover, we also establish some sharp decay rate estimates for these solutions.

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Authors and Affiliations

  1. Department of Mathematics, University of Massachusetts, 01003, Amherst, MA, USA

    Joel Spruck

  2. Department of Mathematics and Statistics, University of New Mexico, 87131, Albuquerque, NM, USA

    Yisong Yang

Authors
  1. Joel Spruck
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  2. Yisong Yang
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Communicated by A. Jaffe

Research supported in part by NSF grant DMS-88-02858 and DOE grant DE-FG02-86ER250125

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Spruck, J., Yang, Y. On multivortices in the electroweak theory II: Existence of Bogomol'nyi solutions in ℝ2 . Commun.Math. Phys. 144, 215–234 (1992). https://doi.org/10.1007/BF02101090

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  • DOI: https://doi.org/10.1007/BF02101090

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