https://doi.org/10.1140/epjc/s10052-014-2793-7
Regular Article - Theoretical Physics
Holographic Brownian motion in 
dimensional hairy black holes
1
Department of Physics, Mazandaran University, P.O.Box 47416-95447, Babolsar, Iran
2
Department of Physics, Damghan University, Damghan, Iran
* e-mail: b.pourhassan@umz.ac.ir
Received:
17
December
2013
Accepted:
19
February
2014
Published online:
4
March
2014
In this paper, we investigate the dynamics of a heavy quark for plasmas corresponding to three dimensional hairy black holes. We utilize the AdS/CFT correspondence to study the holographic Brownian motion of this particle with different kinds of hairy black holes. For an uncharged black hole in the low frequency limit we derive analytic expressions for the correlation functions and the response functions and verify that the fluctuation–dissipation theorem holds in the presence of a scalar field against a metric background. In the case of a charged black hole, we think that the results are similar to that derived for an uncharged black hole.
© SIF and Springer-Verlag Berlin Heidelberg, 2014
