Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-01-12
JHEP 0704:039,2007
Physics
High Energy Physics
High Energy Physics - Theory
19 pages. v3 references added, validity region corrected
Scientific paper
10.1088/1126-6708/2007/04/039
We compute the momentum broadening of a heavy fundamental charge propagating through a $\mathcal{N}=4$ Yang Mills plasma at large t' Hooft coupling. We do this by expressing the medium modification of the probe's density matrix in terms of a Wilson loop averaged over the plasma. We then use the AdS/CFT correspondence to evaluate this loop, by identifying the dual semi-classical string solution. The calculation introduces the type ``1'' and type ``2'' fields of the thermal field theory and associates the corresponding sources with the two boundaries of the AdS space containing a black hole. The transverse fluctuations of the endpoints of the string determine $\kappa_T = \sqrt{\gamma \lambda} T^3 \pi$ -- the mean squared momentum transfer per unit time. ($\gamma$ is the Lorentz gamma factor of the quark.) The result reproduces previous results for the diffusion coefficient of a heavy quark. We compare our results with previous AdS/CFT calculations of $\hat{q}$.
Casalderrey-Solana Jorge
Teaney Derek
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