The complex life of hydrodynamic modes
Date
2019
Authors
Grozdanov, Saso
Kovtun, Pavel
Starinets, Andrei O.
Tadic, Petar
Journal Title
Journal ISSN
Volume Title
Publisher
Journal of High Energy Physics
Abstract
We study analytic properties of the dispersion relations in classical hydrodynamics 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.
Description
Keywords
Black Holes in String Theory, Effective Field Theories, Gauge-gravity correspondence, Holography and quark-gluon plasmas
Citation
Grozdanov, S., Kovtun, P. K., Starinets, A. O., & Tadić, P. (2019) The complex life of hydrodynamic modes. Journal of High Energy Physics, 2019(97). https://doi.org/10.1007/JHEP11(2019)097