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Geometrical aspects of gauge conditions

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Abstract

The Lorentz gauge condition is related to harmonic sections of the principal U(1)-bundle underlying a classical electromagnetic configuration. Minimal sections are shown to correspond to a nonlinear modification of the Lorentz condition. Generalizations to Yang-Mills theory are indicated and harmonic coordinates, in the sense of De Donder and Fock, are related to Hodge's harmonic 1-forms.

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Authors and Affiliations

  1. Institute of Theoretical Physics, Warsaw University, Hoza 69, 00-681, Warsaw, Poland

    Jerzy Lewandowski, Jacek Tafel & Andrzej Trautman

Authors
  1. Jerzy Lewandowski
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  2. Jacek Tafel
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  3. Andrzej Trautman
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Additional information

Research supported in part by the Polish Ministry of Science, Higher Education and Technology under Grant MR.1.7 to Warsaw University.

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Lewandowski, J., Tafel, J. & Trautman, A. Geometrical aspects of gauge conditions. Lett Math Phys 7, 347–352 (1983). https://doi.org/10.1007/BF00420185

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  • DOI: https://doi.org/10.1007/BF00420185

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