Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-05-27
JHEP0810:041,2008
Physics
High Energy Physics
High Energy Physics - Theory
26 pages, 6 figures, contents and references added
Scientific paper
10.1088/1126-6708/2008/10/041
In this paper, we calculate the transverse momentum diffusion coefficient kappa_T of heavy quark and gluon penetration length in the deconfinement phase of Sakai-Sugimoto model, which is known as a holographic dual of large N_c QCD. We find that for the heavy quark moving through the thermal plasma with a constant velocity v<1, the transverse momentum diffusion coefficient kappa_T is proportional to lamda*gamma^{{1/3}}*T^4/T_d, and the gluon penetration length delta x is proportional to E^{{2/5}}. These results are different from those calculated in N=4 super-Yang-Mills theory, where kappa_T is proportional to lambda*gamma^{{1/2}}*T^3 and delta x is proportional to E^{{1/3}}, respectively. In the high energy limit, the difference between the two pairs of results should be evident, so we expect that the future LHC experiments can tell us which model is more closely related to the realistic strongly coupled QCD at finite temperature.
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