Bottom-up isotropization in classical-statistical lattice gauge theory

被引:77
作者
Berges, Juergen [1 ]
Scheffler, Sebastian [1 ]
Sexty, Denes [1 ]
机构
[1] Tech Univ Darmstadt, Inst Nucl Phys, D-64285 Darmstadt, Germany
来源
PHYSICAL REVIEW D | 2008年 / 77卷 / 03期
关键词
D O I
10.1103/PhysRevD.77.034504
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
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 similar to 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 analyze 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)similar or equal to 1-2 fm/c for coarse-graining momentum scales of p less than or similar to 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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页数:11
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