https://doi.org/10.1140/epjc/s10052-021-09460-7
Regular Article - Theoretical Physics
Einstein–Yang–Mills theory: gauge invariant charges and linearization instability
1
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
Received:
2
June
2021
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.
© The Author(s) 2021
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