Scientific article
Open access

Short-lived modes from hydrodynamic dispersion relations

ContributorsWithers, Benjamin
Published inJournal of High Energy Physics, vol. 1806, 059
  • Open Access - SCOAP3
Publication date2018

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.

  • Black Holes in String Theory
  • Gauge-gravity correspondence
  • Holography and condensed matter physics (AdS/CMT)
  • Holography and quark-gluon plasmas
Citation (ISO format)
WITHERS, Benjamin. Short-lived modes from hydrodynamic dispersion relations. In: Journal of High Energy Physics, 2018, vol. 1806, p. 059. doi: 10.1007/JHEP06(2018)059
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Article (Published version)
ISSN of the journal1029-8479

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