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The complex life of hydrodynamic modes

Grozdanov, Sašo, Kovtun, Pavel K., Starinets, Andrei O., Tadić, Petar·2019·Journal of High Energy Physics
DOI 10.1007/jhep11(2019)097
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Abstract

A bstract: 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.

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Authors
Grozdanov, S., Kovtun, P. K., Starinets, A. O., & Tadić, P.
Venue
Journal of High Energy Physics
Publisher
Springer Science and Business Media LLC
Published
2019-11
Volume
2019
Issue
11
ISSN
1029-8479
DOI
10.1007/jhep11(2019)097
Cited by
139
References
0
Language
en
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