On the exact solution of the accelerating string in $AdS_5$ space

Details On the exact solution of the accelerating string in $AdS_5$ space On the exact solution of the accelerating string in $AdS_5$ space

2008-04-08

arxiv.org/abs/0804.1343v3

Phys.Lett.B665:173-177,2008

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, 1 figure; More discussion is added

Scientific paper

10.1016/j.physletb.2008.06.017

In this letter, the exact accelerating string solution of a heavy quark-antiquark pair is found in $AdS_5$ space. On the accelerating string, there is a particular scale which separates the radiation and the heavy quark. This scale is explicitly shown to be an event horizon in the proper frame of the heavy quark. Furthermore, we find a new correspondence, which relates the horizon in $AdS_5$ space on the gravity theory side to the Unruh temperature in Minkowski space on the field theory side of the AdS/CFT correspondence. $p_{\perp}$-broadening and $p_{L}$-broadening of the heavy quark due to radiation are computed using the AdS/CFT correspondence.

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