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.
Author
Derek Teaney
(Stony Brook University)
Co-authors
Paul Chesler
(MIT)
Simon Caron-Huot
(Institute of Advanced Study)
