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arxiv: gr-qc/0411023 · v3 · submitted 2004-11-04 · 🌀 gr-qc · astro-ph

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Self-Interaction and Gauge Invariance

S. Deser
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classification 🌀 gr-qc astro-ph
keywords firstgaugeinvariancenon-linearitiesself-interactionsimpleassociatedcases
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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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