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arXiv 1012.0298hep-phnucl-th
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非阿贝尔等离子体不稳定性:SU(3)与SU(2)

Non-Abelian plasma instabilities: SU(3) vs. SU(2)

Andreas Ipp, Anton Rebhan, Michael Strickland

摘要:

本文首次用规范协变Boltzmann-Vlasov方程对QCD规范群SU(3)、SU(4)和SU(5)的非阿贝尔等离子体不稳定性进行了3+1维模拟。利用离散化的硬粒子速度的硬回路有效理论,研究了具有定常动量-空间各向异性的等离子体不稳定性的实时演化。我们发现,只要相应的硬回路有效理论的质量参数相同,用SU(2)群计算的数值计算费用较低,基本上再现了具有高阶规范群的非阿贝尔等离子体不稳定性的非微扰动力学。特别是,我们发现非常相似的光谱湍流级联中形成的强场制度,这是与近似线性增长的集体领域的能量。然而,线性增长的幅度随着颜色的数量而增加。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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