Einstein–Yang–Mills theory: gauge invariant charges and linearization instability


Altas E., Kilicarslan E., TEKİN B.

European Physical Journal C, vol.81, no.7, 2021 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 81 Issue: 7
  • Publication Date: 2021
  • Doi Number: 10.1140/epjc/s10052-021-09460-7
  • Title of Journal : European Physical Journal C

Abstract

© 2021, The Author(s).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.