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Self-interaction and gauge invariance

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Abstract

A simple unified closed form derivation of the non-linearities of the Einstein, Yang-Mills and spinless (e.g. chiral) meson systems is given. For the first two, the non-linearities are required by locality and consistency; in all cases, they are determined by the conserved currents associated with the initial (linear) gauge invariance of the first kind. Use of first-order formalism leads uniformly to a simple cubic self-interaction.

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Authors and Affiliations

  1. Physics Department, Brandeis University, Waltham, Mass.

    S. Deser

  2. Nordita, Copenhagen

    S. Deser

Authors
  1. S. Deser
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Supported by USAF OAR under Grant AFOSR 70-1864.

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Deser, S. Self-interaction and gauge invariance. Gen Relat Gravit 1, 9–18 (1970). https://doi.org/10.1007/BF00759198

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  • DOI: https://doi.org/10.1007/BF00759198

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