Short-lived modes from hydrodynamic dispersion relations
Short-lived modes from hydrodynamic dispersion relations
We consider the dispersion relation of the shear-diffusion mode in relativistic hydrodynamics, which we generate to high order as a series in spatial momentum q for a holographic model. We demonstrate that the hydrodynamic series can be summed in a way that extends through branch cuts present in the complex q plane, resulting in the accurate description of multiple sheets. Each additional sheet corresponds to the dispersion relation of a different non-hydrodynamic mode. As an example we extract the frequencies of a pair of oscillatory non-hydrodynamic black hole quasinormal modes from the hydrodynamic series. The analytic structure of this model points to the possibility that the complete spectrum of gravitational quasinormal modes may be accessible from the hydrodynamic derivative expansion.
Holography, Gravity, Hydrodynamics
Withers, Benjamin
e510375b-c5d2-4d5f-bd68-40ace13f0ec9
11 June 2018
Withers, Benjamin
e510375b-c5d2-4d5f-bd68-40ace13f0ec9
Withers, Benjamin
(2018)
Short-lived modes from hydrodynamic dispersion relations.
Journal of High Energy Physics, 2018 (6), [59].
(doi:10.1007/JHEP06(2018)059).
Abstract
We consider the dispersion relation of the shear-diffusion mode in relativistic hydrodynamics, which we generate to high order as a series in spatial momentum q for a holographic model. We demonstrate that the hydrodynamic series can be summed in a way that extends through branch cuts present in the complex q plane, resulting in the accurate description of multiple sheets. Each additional sheet corresponds to the dispersion relation of a different non-hydrodynamic mode. As an example we extract the frequencies of a pair of oscillatory non-hydrodynamic black hole quasinormal modes from the hydrodynamic series. The analytic structure of this model points to the possibility that the complete spectrum of gravitational quasinormal modes may be accessible from the hydrodynamic derivative expansion.
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Withers2018_Article_Short-livedModesFromHydrodynam
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Accepted/In Press date: 8 June 2018
e-pub ahead of print date: 11 June 2018
Published date: 11 June 2018
Keywords:
Holography, Gravity, Hydrodynamics
Identifiers
Local EPrints ID: 436132
URI: http://eprints.soton.ac.uk/id/eprint/436132
ISSN: 1029-8479
PURE UUID: 082ad721-09d3-444f-9265-1bc936849b5c
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Date deposited: 29 Nov 2019 17:30
Last modified: 17 Mar 2024 02:27
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