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Title: The complex life of hydrodynamic modes

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 conformal 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.

Authors:
 [1];  [2];  [3];  [4]
  1. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
  2. Univ. of Victoria, BC (Canada)
  3. Univ. of Oxford (United Kingdom)
  4. Trinity College Dublin (Ireland)
Publication Date:
Research Org.:
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP)
OSTI Identifier:
1637347
Grant/Contract Number:  
SC0011090
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2019; Journal Issue: 11; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; black holes in string theory; effective field theories; gauge-gravity correspondence; holography and quark-gluon plasmas

Citation Formats

Grozdanov, Sašo, Kovtun, Pavel K., Starinets, Andrei O., and Tadić, Petar. The complex life of hydrodynamic modes. United States: N. p., 2019. Web. https://doi.org/10.1007/JHEP11(2019)097.
Grozdanov, Sašo, Kovtun, Pavel K., Starinets, Andrei O., & Tadić, Petar. The complex life of hydrodynamic modes. United States. https://doi.org/10.1007/JHEP11(2019)097
Grozdanov, Sašo, Kovtun, Pavel K., Starinets, Andrei O., and Tadić, Petar. Mon . "The complex life of hydrodynamic modes". United States. https://doi.org/10.1007/JHEP11(2019)097. https://www.osti.gov/servlets/purl/1637347.
@article{osti_1637347,
title = {The complex life of hydrodynamic modes},
author = {Grozdanov, Sašo and Kovtun, Pavel K. and Starinets, Andrei O. and Tadić, Petar},
abstractNote = {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 conformal 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.},
doi = {10.1007/JHEP11(2019)097},
journal = {Journal of High Energy Physics (Online)},
number = 11,
volume = 2019,
place = {United States},
year = {2019},
month = {11}
}

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Cited by: 7 works
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