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Gauge-invariant and covariant operators in gauge theories

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Abstract

We study Euler-Lagrange-type operators, not necessarily variational (i.e., derivable from a variational principle). We get amaster equation which is well suited for many considerations. We obtain several results in gauge theories: the equivalence between gauge invariance and charge conservation, the relationship between general covariance and conservation laws associated with the energy-momentum tensor, and, in the case of free gauge fields, an interesting characterization of the associated variational operators.

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Authors and Affiliations

  1. Department of Mathematics and Physics, University of Camerino, 62032, Camerino, Italy

    Giovanni Giachetta & Luigi Mangiarotti

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  1. Giovanni Giachetta
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  2. Luigi Mangiarotti
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Giachetta, G., Mangiarotti, L. Gauge-invariant and covariant operators in gauge theories. Int J Theor Phys 29, 789–804 (1990). https://doi.org/10.1007/BF00673914

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  • DOI: https://doi.org/10.1007/BF00673914

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