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Removable singularities in Yang-Mills fields

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Abstract

We show that a field satisfying the Yang-Mills equations in dimension 4 with a point singularity is gauge equivalent to a smooth field if the functional is finite. We obtain the result that every Yang-Mills field overR 4 with bounded functional (L 2 norm) may be obtained from a field onS 4=R 4∪{∞}. Hodge (or Coulomb) gauges are constructed for general small fields in arbitrary dimensions including 4.

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Authors and Affiliations

  1. Department of Mathematics, University of Illinois at Chicago Circle, 60680, Chicago, IL, USA

    Karen K. Uhlenbeck

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  1. Karen K. Uhlenbeck
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Communicated by S. -T. Yau

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Uhlenbeck, K.K. Removable singularities in Yang-Mills fields. Commun.Math. Phys. 83, 11–29 (1982). https://doi.org/10.1007/BF01947068

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  • DOI: https://doi.org/10.1007/BF01947068

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