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Group-theoretic description of external gauge fields

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Abstract

For an arbitrary external gauge field we construct an infinite group Γ which contains all the information about the given field and describes some of its properties. We construct a field representation of the group Γ. We show that covariant derivatives become translation generators in such a representation of the group Γ. This allows us to interpret transformations from the group Γ as motions in an external gauge field.

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Authors and Affiliations

  1. M. I. Arsenichev Industrial Institute, Dneprodzerzhinsk

    S. E. Samokhvalov

Authors
  1. S. E. Samokhvalov
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 12, pp. 31–35, December, 1988.

I Wish to thank V. S. Vanyashin for his support and M. B. Menskii for remarks that contributed to the improvement of this paper.

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Samokhvalov, S.E. Group-theoretic description of external gauge fields. Soviet Physics Journal 31, 978–981 (1988). https://doi.org/10.1007/BF01101165

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  • DOI: https://doi.org/10.1007/BF01101165

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