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A no-go theorem for generalized vector Galileons on flat spacetime

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arxiv 1312.6690 v1 pith:FUAEBZFF submitted 2013-12-23 hep-th gr-qchep-ph

classification hep-thgr-qchep-ph
keywords derivativeelectromagnetismequationsflatgaugegeneralizedinvariantmotion
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abstract

We explore the possibility for generalized electromagnetism on flat spacetime. For a single copy of $U(1)$ gauge theory, we show that the Galileon-type generalization of electromagnetism is forbidden. Given that the equations of motion for the vector field are gauge invariant and Lorentz invariant, follow from an action and contain no more than second derivative on $A_\mu$, the equations of motion are at most linear with respect to second derivative of $A_\mu$.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Degenerate higher-order Maxwell-Einstein theories

    gr-qc 2025-02 conditional novelty 7.0 of 10

    A complete classification of quadratic degenerate Maxwell-Einstein theories is given, including a new theory that generalizes Horndeski's non-minimal coupling to gauge fields.

  2. Noncanonical Approaches To Inflation

    gr-qc 2019-06 unverdicted novelty 3.0 of 10

    A review thesis covering Mukhanov parametrization, general scalar-tensor theories, and new slow-roll techniques for canonical and noncanonical inflation observables.

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