Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-10-29
JHEP0801:063,2008
Physics
High Energy Physics
High Energy Physics - Theory
Version accepted for publication in JHEP: more references added; some technical points were displaced from Sect. 4 to the new
Scientific paper
10.1088/1126-6708/2008/01/063
By using the AdS/CFT correspondence we study the deep inelastic scattering of an R-current off a N=4 supersymmetric Yang-Mills (SYM) plasma at finite temperature and strong coupling. Within the supergravity approximation valid when the number of colors is large, we compute the structure functions by solving Maxwell equations in the space-time geometry of the AdS_5 black three-brane. We find a rather sharp transition between a low energy regime where the scattering is weak and quasi-elastic, and a high-energy regime where the current is completely absorbed. The critical energy for this transition determines the plasma saturation momentum in terms of its temperature T and the Bjorken x variable: Q_s=T/x. These results suggest a partonic picture for the plasma where all the partons have transverse momenta below the saturation momentum and occupation numbers of order one.
Hatta Yoshitaka
Iancu Edmond
Mueller Alfred H.
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