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Department of Mathematical Sciences

Seminar Archives

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Informal HEP Journal club: arXiv:0904.0464

Presented by Pau Figueras, Durham University

27 April 2009 13:00 in CM107


Discussion of a paper by Sayantani Bhattacharyya and Shiraz Minwalla on 'Weak Field Black Hole Formation in Asymptotically AdS Spacetimes.'

We use the AdS/CFT correspondence to study the thermalization of a
strongly coupled conformal field theory that is forced out of its vacuum
by a source that couples to a marginal operator. The source is taken to be
of small amplitude and finite duration, but is otherwise an arbitrary
function of time. When the field theory lives on $R^{d-1,1}$, the source
sets up a translationally invariant wave in the dual gravitational
description. This wave propagates radially inwards in $AdS_{d+1}$ space
and collapses to form a black brane. Outside its horizon the bulk
spacetime for this collapse process may systematically be constructed in
an expansion in the amplitude of the source function, and takes the Vaidya
form at leading order in the source amplitude. This solution is dual to a
remarkably rapid and intriguingly scale dependent thermalization process
in the field theory. When the field theory lives on a sphere the resultant
wave either slowly scatters into a thermal gas (dual to a glueball type
phase in the boundary theory) or rapidly collapses into a black hole (dual
to a plasma type phase in the field theory) depending on the time scale
and amplitude of the source function. The transition between these two
behaviors is sharp and can be tuned to the Choptuik scaling solution in
$R^{d,1}$.

Contact pau.figueras@durham.ac.uk for more information