# Stirring strongly coupled plasma

European Physical Journal C（2009）

摘要

We determine the energy it takes to move a test quark along a circle of radius L with angular frequency ω through the strongly coupled plasma of
supersymmetric Yang–Mills (SYM) theory. We find that for most values of L and ω the energy deposited by stirring the plasma in this way is governed either by the drag force acting on a test quark moving
through the plasma in a straight line with speed v=L
ω or by the energy radiated by a quark in circular motion in the absence of any plasma, whichever is larger. There is a continuous
crossover from the drag-dominated regime (ω≲π
T(1−v
2)3/4, meaning ω≲π
T and L small enough) to the radiation-dominated regime (ω≳π
T(1−v
2)3/4). In the crossover regime we find evidence for significant destructive interference between energy loss due to drag and due
to radiation as if in vacuum. The rotating quark thus serves as a model system in which the relative strength of, and interplay
between, two different mechanisms of parton energy loss is accessible via a controlled classical gravity calculation. We close
by speculating on the implications of our results for a quark that is moving through the plasma in a straight line while decelerating,
although in this case the classical calculation breaks down at the same value of the deceleration as the one at which the
radiation-dominated regime sets in.

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关键词

thermal field theory.,ads/cft correspondence,particle physics,drag force,ads cft correspondence,thermal field theory

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