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arXiv 2205.03415hep-thcond-mat.stat-mechgr-qc
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来自全息的对带电等离子体中电荷扩散与能量输运的有效描述

An effective description of charge diffusion and energy transport in a charged plasma from holography

Temple He, R. Loganayagam, Mukund Rangamani, Julio Virrueta

AI总结:

本文通过将带电等离子体全息建模为Reissner-Nordstrom-AdS黑洞,解耦纵向涨落并分离声子模与电荷扩散模,构建了包含推迟响应和随机涨落、精确到梯度四阶的实时高斯有效作用量。

摘要:

我们讨论具有非零电荷密度的等离子体中的声传播与电荷扩散物理。我们的分析完成了在 arXiv:2108.03244 中启动的计划,即在此类等离子体中构建应力张量和电荷电流低能模式的开放有效场论。我们将等离子体全息地建模为 Reissner-Nordstrom-AdS 黑洞,并研究该背景下纵向极化标量引力子和光子的线性化涨落。我们证明这些扰动可以被解耦并重新包装为两个设计标量的动力学,其引力耦合由一个非平凡的伸缩因子调制。全息分析使我们能够将声子模式与电荷扩散模式分离开来,并识别出对应于每种模式的电流组合。我们利用这些结果得到实时高斯有效作用量,它同时包含推迟响应和相关的随机(霍金)涨落,精确到梯度的四阶。

英文摘要:

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.

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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