Details
| Original language | English |
|---|---|
| Article number | 115583 |
| Journal | Nuclear Physics B |
| Volume | 973 |
| Early online date | 26 Oct 2021 |
| Publication status | Published - Dec 2021 |
Abstract
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.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
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In: Nuclear Physics B, Vol. 973, 115583, 12.2021.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Instability of cosmic Yang-Mills fields
AU - Kumar, Kaushlendra
AU - Lechtenfeld, Olaf
AU - Picanço Costa, Gabriel
N1 - Funding Information: K.K. is grateful to Deutscher Akademischer Austauschdienst (DAAD) for the doctoral research grant 57381412 .
PY - 2021/12
Y1 - 2021/12
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85117950782&partnerID=8YFLogxK
U2 - 10.1016/j.nuclphysb.2021.115583
DO - 10.1016/j.nuclphysb.2021.115583
M3 - Article
AN - SCOPUS:85117950782
VL - 973
JO - Nuclear Physics B
JF - Nuclear Physics B
SN - 0550-3213
M1 - 115583
ER -