Instability of cosmic Yang-Mills fields

There exists a small family of analytic SO(4)-invariant but time-dependent SU(2) Yang–Mills solutions in any conformally flat four-dimensional spacetime. These might play a role in early-universe cosmology for stabilizing the symmetric Higgs vacuum. We analyze the linear stability of these “cosmic g...

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Autores principales:	Kaushlendra Kumar, Olaf Lechtenfeld, Gabriel Picanço Costa
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2021
Materias:	Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
Acceso en línea:	https://doaj.org/article/f8d382f786d343eba710b97c8c59c1f4
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id	oai:doaj.org-article:f8d382f786d343eba710b97c8c59c1f4
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spelling	oai:doaj.org-article:f8d382f786d343eba710b97c8c59c1f42021-12-04T04:32:52ZInstability of cosmic Yang-Mills fields0550-321310.1016/j.nuclphysb.2021.115583https://doaj.org/article/f8d382f786d343eba710b97c8c59c1f42021-12-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S0550321321002807https://doaj.org/toc/0550-3213There exists a small family of analytic SO(4)-invariant but time-dependent SU(2) Yang–Mills solutions in any conformally flat four-dimensional spacetime. These might play a role in early-universe cosmology for stabilizing the symmetric Higgs vacuum. We analyze the linear stability of these “cosmic gauge fields” against general gauge-field perturbations while keeping the metric frozen, by diagonalizing the (time-dependent) Yang–Mills fluctuation operator around them and applying Floquet theory to its eigenfrequencies and normal modes. Except for the exactly solvable SO(4) singlet perturbation, which is found to be marginally stable linearly but bounded nonlinearly, generic normal modes often grow exponentially due to resonance effects. Even at very high energies, all cosmic Yang–Mills backgrounds are rendered linearly unstable.Kaushlendra KumarOlaf LechtenfeldGabriel Picanço CostaElsevierarticleNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENNuclear Physics B, Vol 973, Iss , Pp 115583- (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
spellingShingle	Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 Kaushlendra Kumar Olaf Lechtenfeld Gabriel Picanço Costa Instability of cosmic Yang-Mills fields
description	There exists a small family of analytic SO(4)-invariant but time-dependent SU(2) Yang–Mills solutions in any conformally flat four-dimensional spacetime. These might play a role in early-universe cosmology for stabilizing the symmetric Higgs vacuum. We analyze the linear stability of these “cosmic gauge fields” against general gauge-field perturbations while keeping the metric frozen, by diagonalizing the (time-dependent) Yang–Mills fluctuation operator around them and applying Floquet theory to its eigenfrequencies and normal modes. Except for the exactly solvable SO(4) singlet perturbation, which is found to be marginally stable linearly but bounded nonlinearly, generic normal modes often grow exponentially due to resonance effects. Even at very high energies, all cosmic Yang–Mills backgrounds are rendered linearly unstable.
format	article
author	Kaushlendra Kumar Olaf Lechtenfeld Gabriel Picanço Costa
author_facet	Kaushlendra Kumar Olaf Lechtenfeld Gabriel Picanço Costa
author_sort	Kaushlendra Kumar
title	Instability of cosmic Yang-Mills fields
title_short	Instability of cosmic Yang-Mills fields
title_full	Instability of cosmic Yang-Mills fields
title_fullStr	Instability of cosmic Yang-Mills fields
title_full_unstemmed	Instability of cosmic Yang-Mills fields
title_sort	instability of cosmic yang-mills fields
publisher	Elsevier
publishDate	2021
url	https://doaj.org/article/f8d382f786d343eba710b97c8c59c1f4
work_keys_str_mv	AT kaushlendrakumar instabilityofcosmicyangmillsfields AT olaflechtenfeld instabilityofcosmicyangmillsfields AT gabrielpicancocosta instabilityofcosmicyangmillsfields
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Instability of cosmic Yang-Mills fields

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