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 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 81 Issue: 7
  • Publication Date: 2021
  • Doi Number: 10.1140/epjc/s10052-021-09460-7
  • Journal Name: European Physical Journal C
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Chemical Abstracts Core, Communication Abstracts, INSPEC, zbMATH, Directory of Open Access Journals
  • Middle East Technical University Affiliated: Yes

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.