Fluctuation, dissipation, and thermalization in non-equilibrium ${\rm AdS}_5$ black hole geometries

May 27, 2011, 4:00 PM
20m
Salon Berlioz AB (Imperial Palace)

Salon Berlioz AB

Imperial Palace

Salle de l'Europe, Imperial Palace
Parallel New theoretical developments Theory developments

Speaker

Derek Teaney (Stony Brook University)

Description

We give a simple recipe for computing dissipation and fluctuations (commutator and anti-commutator correlation functions) for non-equilibrium black hole geometries. The recipe formulates Hawking radiation as an initial value problem, and is suitable for numerical work. We show how to package the fluctuation and dissipation near the event horizon into correlators on the stretched horizon. These horizon correlators determine the bulk and boundary field theory correlation functions. In addition, the horizon correlators are the components of a horizon effective action which provides a quantum generalization of the membrane paradigm. In equilibrium, the analysis reproduces previous results on the Brownian motion of a heavy quark. Out of equilibrium, Wigner transforms of commutator and anti-commutator correlation functions obey a fluctuation-dissipation relation at high frequency.

Primary author

Derek Teaney (Stony Brook University)

Co-authors

Paul Chesler (MIT) Simon Caron-Huot (Institute of Advanced Study)

Presentation materials