Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2007-12-20
Phys.Rev.D77:034504,2008
Physics
High Energy Physics
High Energy Physics - Phenomenology
22 pages, 12 figures. Phys. Rev. D version, appendix on insensitivity to volume and cutoff effects added
Scientific paper
10.1103/PhysRevD.77.034504
We compute nonequilibrium dynamics for classical-statistical SU(2) pure gauge theory on a lattice. We consider anisotropic initial conditions with high occupation numbers in the transverse plane on a characteristic scale ~ Q_s. This is used to investigate the very early stages of the thermalization process in the context of heavy-ion collisions. We find Weibel or "primary" instabilities with growth rates similar to those obtained from previous treatments employing anisotropic distributions of hard modes (particles) in the weak coupling limit. We observe "secondary" growth rates for higher-momentum modes reaching substantially larger values and we analyse them in terms of resummed loop diagrams beyond the hard-loop approximation. We find that a coarse grained pressure isotropizes "bottom-up" with a characteristic inverse rate of gamma^{-1} ~ 1 - 2 fm/c for coarse graining momentum scales of p < 1 GeV choosing an initial energy density for RHIC of epsilon = 30 GeV/fm^3. The nonequilibrium spatial Wilson loop is found to exhibit an area law and to become isotropic on a similar time scale.
Berges Juergen
Scheffler Sebastian
Sexty Dénes
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