Spectral densities for hot QCD plasmas in a leading-log approximation

Spectral densities for hot QCD plasmas in a leading-log approximation
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超前对数近似中的热 QCD 等离子体的光谱密度

DOI:
10.1103/physrevc.82.044908
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发表时间:
2010
期刊:
影响因子:
3.1
通讯作者:
D. Teaney
D. Teaney
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Juhee Hong;D. Teaney

文献摘要

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我们计算了高温 QCD 等离子体中小频率和动量 {omega},k{approx}g{sup 4}T 下 T{sup {mu}{nu}} 和 J{sup {mu}} 的谱密度。主要的对数玻尔兹曼方程被重新表述为具有非平凡边界条件的福克-普朗克方程,并在动量空间中对所得偏微分方程进行数值求解。电流、剪切、声音和体通道的谱密度表现出从自由流动的准粒子到理想流体动力学的平滑过渡。使用共形和非共形二阶流体动力学以及二阶扩散方程来分析这种转变。我们确定了表征流体动力学状态中线性响应的所有二阶传递系数。
We compute the spectral densities of T{sup {mu}{nu}}and J{sup {mu}}in high-temperature QCD plasmas at small frequency and momentum, {omega},k{approx}g{sup 4}T. The leading log Boltzmann equation is reformulated as a Fokker-Planck equation with nontrivial boundary conditions, and the resulting partial differential equation is solved numerically in momentum space. The spectral densities of the current, shear, sound, and bulk channels exhibit a smooth transition from free-streaming quasiparticles to ideal hydrodynamics. This transition is analyzed with conformal and nonconformal second-order hydrodynamics and a second-order diffusion equation. We determine all of the second-order transport coefficients that characterize the linear response in the hydrodynamic regime.