Regular Article - Theoretical Physics
Einstein–Yang–Mills theory: gauge invariant charges and linearization instability
Department of Physics, Karamanoglu Mehmetbey University, 70100, Karaman, Turkey
2 Department of Mathematics, Usak University, 64200, Usak, Turkey
3 Department of Physics, Middle East Technical University, 06800, Ankara, Turkey
Accepted: 15 July 2021
Published online: 23 July 2021
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 (Phys Lett B 116:259–263, 1982). 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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