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arXiv · 0910.1548

Classical Strongly Coupled QGP: VII. Energy Loss

Sungtae Cho·Ismail Zahed
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Abstract

We use linear response analysis and the fluctuation-dissipation theorem to derive the energy loss of a heavy quark in the SU(2) classical Coulomb plasma in terms of the $l=1$ monopole and non-static structure factor. The result is valid for all Coulomb couplings $\Gamma=V/K$, the ratio of the mean potential to kinetic energy. We use the Liouville equation in the collisionless limit to assess the SU(2) non-static structure factor. We find the energy loss to be strongly dependent on $\Gamma$. In the liquid phase with $\Gamma\approx 4$, the energy loss is mostly metallic and soundless with neither a Cerenkov nor a Mach cone. Our analytical results compare favorably with the SU(2) molecular dynamics simulations at large momentum and for heavy quark masses.

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Sungtae Cho, Ismail Zahed. 2009-10-08. Classical Strongly Coupled QGP: VII. Energy Loss. https://doi.org/10.1103/physrevc.82.064904

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