Einstein-Yang-Mills Theory: Gauge Invariant Charges and Linearization Instability

Abstract

We construct the gauge-invariant electric and magnetic charges in Yang-Mills theory coupled to cosmological General Relativity (or any other geometric gravity), extending the flat spacetime construction of Abbott and Deser. For non-vanishing background gauge fields, the charges receive non-trivial contribution from the gravity part. In addition, we study the constraints on the first order perturbation theory and establish the conditions for linearization instability: that is the validity of the first order perturbation theory.

arXiv comment14 pages,v2 matches the published version

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Cited by in corpus (6)

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• Covariant canonical formulations of classical field theories
• Photon propagator for inflation in the general covariant gauge
• Photon quantization in cosmological spaces
• Geodesic dynamics and multi-inclination images of a non-minimally coupled black hole with a thin accretion disk
• Linearization (in)stabilities and crossed products