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On the exact solution of the accelerating string in AdS₅ space

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arxiv 0804.1343 v3 pith:YS2DARDP submitted 2008-04-08 hep-th hep-ph

On the exact solution of the accelerating string in AdS₅ space

classification hep-th hep-ph
keywords heavyspaceacceleratingcorrespondencequarkstringbroadeningexact
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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