publication . Preprint . 2006

Heavy Quark Diffusion in Strongly Coupled $\N=4$ Yang Mills

Casalderrey-Solana, Jorge; Teaney, Derek;
Open Access English
  • Published: 17 May 2006
Abstract
We express the heavy quark diffusion coefficient as the temporal variation of a Wilson line along the Schwinger-Keldysh contour. This generalizes the classical formula for diffusion as a force-force correlator to a non-abelian theory. We use this formula to compute the diffusion coefficient in strongly coupled $\N=4$ Yang-Mills by studying the fluctuations of a string in $AdS_5\times S_5$. The string solution spans the full Kruskal plane and gives access to contour correlations. The diffusion coefficient is $D=2/\sqrt{\lambda} \pi T$ and is therefore parametrically smaller than momentum diffusion, $\eta/(e+p)=1/4\pi T$. The quark mass must be much greater than $...
Subjects
arXiv: High Energy Physics::Lattice
free text keywords: High Energy Physics - Phenomenology, High Energy Physics - Theory, Nuclear Theory
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