Heavy Quark Diffusion in Strongly Coupled $\N=4$ Yang Mills
High Energy Physics - Phenomenology
2008-11-26 v2 High Energy Physics - Theory
Nuclear Theory
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 Yang-Mills by studying the fluctuations of a string in . The string solution spans the full Kruskal plane and gives access to contour correlations. The diffusion coefficient is and is therefore parametrically smaller than momentum diffusion, . The quark mass must be much greater than in order to treat the quark as a heavy quasi-particle. The result is discussed in the context of the RHIC experiments.
Cite
@article{arxiv.hep-ph/0605199,
title = {Heavy Quark Diffusion in Strongly Coupled $\N=4$ Yang Mills},
author = {Jorge Casalderrey-Solana and Derek Teaney},
journal= {arXiv preprint arXiv:hep-ph/0605199},
year = {2008}
}
Comments
17 pages + 2 figures