In this section, I will take the bulk point of view originally discussed in [297, 268], with a related fluctuation
analysis in [138]. The goal is to highlight the power of the techniques developed in Sections 4 and 5 rather
than being self-contained. For a more thorough discussion, the reader should check the review on this
particular topic [272].
The thermal medium is holographically described in terms of the AdS5-Schwarzschild black hole,
where If one is interested in describing the dragging effect suffered by the quark due to the interactions with
the thermal medium, one considers a non-static quark, whose trajectory in the boundary satisfies
, assuming motion takes place only in the
direction. One can parameterise the bulk
trajectory as
To compute the rate at which quark momentum is being transferred to the bath, one can simply
integrate the conserved current over a line-segment and given the stready-state nature of the trailing
string configuration, one infers [272
]
More recently, it was argued in [212] that one can compute the energy loss by radiation of an
infinitely-massive half-BPS charged particle to all orders in using a similar construction to the one
mentioned at the end of Section 6.1. This involved the use of classical D5-brane and D3-brane world volume
reaching the AdS5 boundary to describe particles transforming in the antisymmetric and symmetric
representations of the gauge group, respectively.
http://www.livingreviews.org/lrr-2012-3 |
Living Rev. Relativity 15, (2012), 3
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