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arXiv · 2105.11744

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

Emel Altas·Ercan Kilicarslan·Bayram Tekin
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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.

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Emel Altas, Ercan Kilicarslan, Bayram Tekin. 2021-05-25. Einstein-Yang-Mills Theory: Gauge Invariant Charges and Linearization Instability. https://doi.org/10.1140/epjc%2Fs10052-021-09460-7

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