Non-Abelian plasma instabilities: SU(3) versus SU(2)
Non-Abelian plasma instabilities: SU(3) versus SU(2)
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DOI：
10.1103/physrevd.84.056003
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发表时间：
2011-09-02
影响因子：
5
通讯作者：
Strickland, Michael
中科院分区：
文献类型：
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作者：
Ipp, Andreas;Rebhan, Anton;Strickland, Michael
我们首次对 QCD 规范组 SU(3) 以及 SU(4) 和 SU(5) 规范协变 Boltzmann-Vlasov 方程中的非阿贝尔等离子体不稳定性进行 3 + 1 维模拟。使用以硬粒子速度离散化的硬环有效理论，研究了具有固定动量空间各向异性的等离子体的不稳定性的实时演化。我们发现，如果相应的硬环有效理论的质量参数相同，使用 SU(2) 组进行的数值计算成本较低，基本上可以重现具有更高阶规范组的非阿贝尔等离子体不稳定性的非微扰动力学。特别是，我们发现在强场状态下形成的湍流级联的光谱非常相似，这与集体场中能量的近似线性增长有关。然而，线性增长的幅度随着颜色数量的增加而增加。
We present the first 3 + 1 dimensional simulations of non-Abelian plasma instabilities in gauge-covariant Boltzmann-Vlasov equations for the QCD gauge group SU(3) as well as for SU(4) and SU(5). The real-time evolution of instabilities for a plasma with stationary momentum-space anisotropy is studied using a hard-loop effective theory that is discretized in the velocities of hard particles. We find that the numerically less expensive calculations using the group SU(2) essentially reproduce the nonperturbative dynamics of non-Abelian plasma instabilities with higher rank gauge groups provided the mass parameters of the corresponding hard-loop effective theories are the same. In particular, we find very similar spectra for the turbulent cascade that forms in the strong-field regime, which is associated with an approximately linear growth of energy in collective fields. The magnitude of the linear growth however turns out to increase with the number of colors.