Statut  Confirmé 
Série  RENCTHEO 
Domaines  hepth 
Date  Jeudi 25 Mars 2021 
Heure  11:00 
Institut  IHP 
Salle  Zoom: https://zoom.us/j/97507124810 (pwd= 1234 ) 
Nom de l'orateur  Goutéraux 
Prenom de l'orateur  Blaise 
Addresse email de l'orateur  blaise [dot] gouteraux [at] polytechnique [dot] edu 
Institution de l'orateur  Ecole Polytechnique 
Titre  Hydrodynamic diffusion and its breakdown near AdS2 fixed points 
Résumé  Hydrodynamics provides a universal description of interacting quantum field theories at sufficiently long times and wavelengths, but breaks down at scales dependent on microscopic details of the theory. We use gaugegravity duality to investigate the breakdown of diffusive hydrodynamics in two low temperature states dual to black holes with AdS$_2$ horizons. We find that the breakdown is characterized by a collision between the diffusive pole of the retarded Green's function with a pole associated to the AdS$_2$ region of the geometry, such that the local equilibration time is set by infrared properties of the theory. The absolute values of the frequency and wavevector at the collision ($\omega_{eq}$ and $k_{eq}$) provide a natural characterization of all the low temperature diffusivities $D$ of the states via $D=\omega_{eq}/k_{eq}^2$ where $\omega_{eq}=2\pi\Delta T$ is set by the temperature $T$ and the scaling dimension $\Delta$ of an infrared operator. We confirm that these relations are also satisfied in an SYK chain model in the limit of strong interactions. 
Numéro de preprint arXiv  2011.12301 
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