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 |
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Fichiers attachés |
- IHP-2021-GOUTERAUX.pdf (1206227 bytes)
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