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The asymptotic Higgs field of a monopole

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Abstract

A simple formula is computed for the asymptotic Higgs field of an SU(2) monopole. This formula is derived from the twistor description of monopoles, and is applied to the study of boundary behaviour. It is found to be harmonic, and to have as its natural domain of definition a branched covering of ℝ3. Explicit formulae are given in simple cases.

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Authors and Affiliations

  1. Département de Mathématiques, U.Q.A.M., Succursale “A”, C.P. 8888, H3C 3P8, Montreal, P.Q., Canada

    Jacques Hurtubise

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  1. Jacques Hurtubise
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Communicated by A. Jaffe

Research supported in part by FCAC grant EQ-2354 from the Gouvernement du Québec

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Hurtubise, J. The asymptotic Higgs field of a monopole. Commun.Math. Phys. 97, 381–389 (1985). https://doi.org/10.1007/BF01213404

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  • DOI: https://doi.org/10.1007/BF01213404

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