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The complex life of hydrodynamic modes

Author(s)
Grozdanov, Sašo; Kovtun, Pavel K; Starinets, Andrei O; Tadić, Petar
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Abstract
Abstract We study analytic properties of the dispersion relations in classical hydrody- namics by treating them as Puiseux series in complex momentum. The radii of convergence of the series are determined by the critical points of the associated complex spectral curves. For theories that admit a dual gravitational description through holography, the critical points correspond to level-crossings in the quasinormal spectrum of the dual black hole. We illustrate these methods in N = 4 supersymmetric Yang-Mills theory in 3+1 dimensions, in a holographic model with broken translation symmetry in 2+1 dimensions, and in con- formal field theory in 1+1 dimensions. We comment on the pole-skipping phenomenon in thermal correlation functions, and show that it is not specific to energy density correlations.
Date issued
2019-11-18
URI
https://hdl.handle.net/1721.1/131652
Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Publisher
Springer Berlin Heidelberg
Citation
Journal of High Energy Physics. 2019 Nov 18;2019(11):97
Version: Final published version

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