Statut Confirmé Série RENC-THEO Domaines hep-th 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 gauge-gravity 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 infra-red 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 infra-red 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 Commentaires Fichiers attachés IHP-2021-GOUTERAUX.pdf (1206227 bytes)

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