English

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

High Energy Physics - Theory 2021-07-29 v2 General Relativity and Quantum Cosmology Mathematical Physics math.MP

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.

Keywords

Cite

@article{arxiv.2105.11744,
  title  = {Einstein-Yang-Mills Theory: Gauge Invariant Charges and Linearization Instability},
  author = {Emel Altas and Ercan Kilicarslan and Bayram Tekin},
  journal= {arXiv preprint arXiv:2105.11744},
  year   = {2021}
}

Comments

14 pages,v2 matches the published version

R2 v1 2026-06-24T02:26:13.013Z