Gravitating Meron-like topological solitons in massive Yang–Mills theory and the Einstein–Skyrme model
Abstract We show that Merons in D-dimensional Einstein–Massive–Yang–Mills theory can be mapped to solutions of the Einstein–Skyrme model. The identification of the solutions relies on the fact that, when considering the Meron ansatz for the gauge connection $$A=\lambda U^{-1}dU$$ A = λ U - 1 d U , t...
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2021-07-01
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Series: | European Physical Journal C: Particles and Fields |
Online Access: | https://doi.org/10.1140/epjc/s10052-021-09444-7 |
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doaj-4852e630968f46f59af704e4efea89ee2021-08-01T11:12:48ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522021-07-0181711210.1140/epjc/s10052-021-09444-7Gravitating Meron-like topological solitons in massive Yang–Mills theory and the Einstein–Skyrme modelMarcelo Ipinza0Patricio Salgado-Rebolledo1Instituto de Física, Pontificia Universidad Católica de ValparaísoUniversité Libre de Bruxelles and International Solvay InstitutesAbstract We show that Merons in D-dimensional Einstein–Massive–Yang–Mills theory can be mapped to solutions of the Einstein–Skyrme model. The identification of the solutions relies on the fact that, when considering the Meron ansatz for the gauge connection $$A=\lambda U^{-1}dU$$ A = λ U - 1 d U , the massive Yang–Mills equations reduce to the Skyrme equations for the corresponding group element U. In the same way, the energy–momentum tensors of both theories can be identified and therefore lead to the same Einstein equations. Subsequently, we focus on the SU(2) case and show that introducing a mass for the Yang–Mills field restricts Merons to live on geometries given by the direct product of $$S^3$$ S 3 (or $$S^2$$ S 2 ) and Lorentzian manifolds with constant Ricci scalar. We construct explicit examples for $$D=4$$ D = 4 and $$D=5$$ D = 5 . Finally, we comment on possible generalisations.https://doi.org/10.1140/epjc/s10052-021-09444-7 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Marcelo Ipinza Patricio Salgado-Rebolledo |
spellingShingle |
Marcelo Ipinza Patricio Salgado-Rebolledo Gravitating Meron-like topological solitons in massive Yang–Mills theory and the Einstein–Skyrme model European Physical Journal C: Particles and Fields |
author_facet |
Marcelo Ipinza Patricio Salgado-Rebolledo |
author_sort |
Marcelo Ipinza |
title |
Gravitating Meron-like topological solitons in massive Yang–Mills theory and the Einstein–Skyrme model |
title_short |
Gravitating Meron-like topological solitons in massive Yang–Mills theory and the Einstein–Skyrme model |
title_full |
Gravitating Meron-like topological solitons in massive Yang–Mills theory and the Einstein–Skyrme model |
title_fullStr |
Gravitating Meron-like topological solitons in massive Yang–Mills theory and the Einstein–Skyrme model |
title_full_unstemmed |
Gravitating Meron-like topological solitons in massive Yang–Mills theory and the Einstein–Skyrme model |
title_sort |
gravitating meron-like topological solitons in massive yang–mills theory and the einstein–skyrme model |
publisher |
SpringerOpen |
series |
European Physical Journal C: Particles and Fields |
issn |
1434-6044 1434-6052 |
publishDate |
2021-07-01 |
description |
Abstract We show that Merons in D-dimensional Einstein–Massive–Yang–Mills theory can be mapped to solutions of the Einstein–Skyrme model. The identification of the solutions relies on the fact that, when considering the Meron ansatz for the gauge connection $$A=\lambda U^{-1}dU$$ A = λ U - 1 d U , the massive Yang–Mills equations reduce to the Skyrme equations for the corresponding group element U. In the same way, the energy–momentum tensors of both theories can be identified and therefore lead to the same Einstein equations. Subsequently, we focus on the SU(2) case and show that introducing a mass for the Yang–Mills field restricts Merons to live on geometries given by the direct product of $$S^3$$ S 3 (or $$S^2$$ S 2 ) and Lorentzian manifolds with constant Ricci scalar. We construct explicit examples for $$D=4$$ D = 4 and $$D=5$$ D = 5 . Finally, we comment on possible generalisations. |
url |
https://doi.org/10.1140/epjc/s10052-021-09444-7 |
work_keys_str_mv |
AT marceloipinza gravitatingmeronliketopologicalsolitonsinmassiveyangmillstheoryandtheeinsteinskyrmemodel AT patriciosalgadorebolledo gravitatingmeronliketopologicalsolitonsinmassiveyangmillstheoryandtheeinsteinskyrmemodel |
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