Collective non-Abelian instabilities in a melting Color Glass Condensate

Details Collective non-Abelian instabilities in a melting Color Glass Condensate Collective non-Abelian instabilities in a melting Color Glass Condensate

2005-10-10

arxiv.org/abs/hep-ph/0510121v2

Phys.Rev.Lett.96:062302,2006

Physics

High Energy Physics

High Energy Physics - Phenomenology

4 pages, 4 figures, revtex4; v2: typos corrected, discussion on growth rate in expanding system added, accepted for publicatio

Scientific paper

10.1103/PhysRevLett.96.062302

We present first results for 3+1-D simulations of SU(2) Yang-Mills equations for matter expanding into the vacuum after a heavy ion collision. Violations of boost invariance cause a Weibel instability leading soft modes to grow with proper time $\tau$ as $\exp(\Gamma \sqrt{g^2\mu \tau})$, where $g^2\mu$ is a scale arising from the saturation of gluons in the nuclear wavefunction. The scale for the growth rate $\Gamma$ is set by a plasmon mass, defined as $\omega_{\rm pl}= \kappa_0 \sqrt{\frac{g^2\mu}{\tau}}$, generated dynamically in the collision. We compare the numerical ratio $\Gamma/\kappa_0$ to the corresponding value predicted by the Hard Thermal Loop formalism for anisotropic plasmas.

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