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Bottom-up isotropization in classical-statistical lattice gauge theory

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arxiv 0712.3514 v2 pith:NVZULKUC submitted 2007-12-20 hep-ph hep-lathep-thnucl-th

classification hep-phhep-lathep-thnucl-th
keywords anisotropicbottom-upcharacteristicclassical-statisticalcoarsefindgaugegrowth
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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    hep-ph 2025-07 conditional novelty 7.0 of 10

    Including inelastic scattering in a simplified gluon kinetic theory speeds up hydrodynamization, and attractors appear through gapped eigenstates of an effective Hamiltonian even without pre-thermal scaling.

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