论文标题
电荷扩散和能量传输的有效描述来自全息流体
An effective description of charge diffusion and energy transport in a charged plasma from holography
论文作者
论文摘要
我们讨论了具有非变化电荷密度的血浆中声音传播的物理和电荷扩散。我们的分析最终导致在ARXIV：2108.03244中启动的程序，以在此类等离子体中构建应力张量和电荷电流的低洼模式的开放有效场理论。我们将等离子体全息模拟为Reissner-Nordstrom-Ads黑洞，并在此背景下研究纵向极化标量重力和光子的线性化波动。我们证明，可以将扰动解耦并重新包装到两个设计器标量的动力学中，其引力耦合由非平凡的膨胀因子调节。全息分析使我们能够从电荷扩散模式隔离声子模式，并确定与每个电流相对应的电流的组合。我们使用这些结果来获得实时高斯有效作用，其中包括迟滞的反应和相关的随机（鹰）波动，在梯度中准确至四分之一。
We discuss the physics of sound propagation and charge diffusion in a plasma with non-vanishing charge density. Our analysis culminates the program initiated in arXiv:2108.03244 to construct an open effective field theory of low-lying modes of the stress tensor and charge current in such plasmas. We model the plasma holographically as a Reissner-Nordstrom-AdS black hole, and study linearized fluctuations of longitudinally polarized scalar gravitons and photons in this background. We demonstrate that the perturbations can be decoupled and repackaged into the dynamics of two designer scalars, whose gravitational coupling is modulated by a non-trivial dilatonic factor. The holographic analysis allows us to isolate the phonon mode from the charge diffusion mode, and identify the combination of currents that corresponds to each of them. We use these results to obtain the real-time Gaussian effective action, which includes both the retarded response and the associated stochastic (Hawking) fluctuations, accurate to quartic order in gradients.
