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

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 (Phys Lett B 116:259–263, 1982). For non-vanishing background gauge...

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Main Authors: Emel Altas, Ercan Kilicarslan, Bayram Tekin
Format: Article
Language:English
Published: SpringerOpen 2021-07-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-021-09460-7
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author Emel Altas
Ercan Kilicarslan
Bayram Tekin
author_facet Emel Altas
Ercan Kilicarslan
Bayram Tekin
author_sort Emel Altas
collection DOAJ
description 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 (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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spelling doaj.art-dc4153bdc9454eeca929aaedbc82e6c92022-12-21T18:27:37ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522021-07-018171910.1140/epjc/s10052-021-09460-7Einstein–Yang–Mills theory: gauge invariant charges and linearization instabilityEmel Altas0Ercan Kilicarslan1Bayram Tekin2Department of Physics, Karamanoglu Mehmetbey UniversityDepartment of Mathematics, Usak UniversityDepartment of Physics, Middle East Technical UniversityAbstract 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.https://doi.org/10.1140/epjc/s10052-021-09460-7
spellingShingle Emel Altas
Ercan Kilicarslan
Bayram Tekin
Einstein–Yang–Mills theory: gauge invariant charges and linearization instability
European Physical Journal C: Particles and Fields
title Einstein–Yang–Mills theory: gauge invariant charges and linearization instability
title_full Einstein–Yang–Mills theory: gauge invariant charges and linearization instability
title_fullStr Einstein–Yang–Mills theory: gauge invariant charges and linearization instability
title_full_unstemmed Einstein–Yang–Mills theory: gauge invariant charges and linearization instability
title_short Einstein–Yang–Mills theory: gauge invariant charges and linearization instability
title_sort einstein yang mills theory gauge invariant charges and linearization instability
url https://doi.org/10.1140/epjc/s10052-021-09460-7
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AT ercankilicarslan einsteinyangmillstheorygaugeinvariantchargesandlinearizationinstability
AT bayramtekin einsteinyangmillstheorygaugeinvariantchargesandlinearizationinstability