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The existence of non-minimal solutions of the Yang-Mills-Higgs equations overR 3 with arbitrary positive coupling constant

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Abstract

This paper proves the existence of a non-trivial critical point of theSU(2) Yang-Mills-Higgs functional onR 3 with arbitrary positive coupling constant. The critical point lies in the zero monopole class but has action bounded strictly away from zero.

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Authors and Affiliations

  1. Department of Mathematics, Polytechnic University of New York, 11201, Brooklyn, NY, USA

    L. M. Sibner

  2. Department of Mathematics, Swarthmore College, 19081, Swarthmore, PA, USA

    J. Talvacchia

Authors
  1. L. M. Sibner
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  2. J. Talvacchia
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Additional information

Communicated by A. Jaffe

Supported in part by NSF Grant DMS-9200576.

Supported in part by NSF Grant DMS-9109491.

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Sibner, L.M., Talvacchia, J. The existence of non-minimal solutions of the Yang-Mills-Higgs equations overR 3 with arbitrary positive coupling constant. Commun.Math. Phys. 162, 333–351 (1994). https://doi.org/10.1007/BF02102021

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  • DOI: https://doi.org/10.1007/BF02102021

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