论文标题

鹰派吸引力的音色:从全息图中的能量传输的有效描述

The timbre of Hawking gravitons: an effective description of energy transport from holography

论文作者

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

论文摘要

广告中的平面黑孔在全息二,可压缩的相对论流体具有长期寿命的声子模式,可捕获减弱的声音传播的物理,并在等离子体中运输能量。我们描述了这种波动的声子自由程度的开放有效领域理论。声子的动力学编码在一个标量场字段中,其引力耦合具有非平凡的空间动量依赖性。此描述完全符合马尔可夫索引分类引力模式的范式,具体取决于它们是否长寿。声音标量是一个非马克维亚磁场,用于D维流体的指数(3-D)。我们将全息声音模式的分散关系重现(并扩展)到衍生物中的四分之一阶,并在此过程中构建了有效的场理论,该理论控制了其衰减的动力学和相关的随机波动。我们还评论引力问题中存在其他空间均匀的零模式,这些模式与Phonon Goldstone模式保持了连接。

Planar black holes in AdS, which are holographically dual to compressible relativistic fluids, have a long-lived phonon mode that captures the physics of attenuated sound propagation and transports energy in the plasma. We describe the open effective field theory of this fluctuating phonon degree of freedom. The dynamics of the phonon is encoded in a single scalar field whose gravitational coupling has non-trivial spatial momentum dependence. This description fits neatly into the paradigm of classifying gravitational modes by their Markovianity index, depending on whether they are long-lived. The sound scalar is a non-Markovian field with index (3-d) for a d-dimensional fluid. We reproduce (and extend) the dispersion relation of the holographic sound mode to quartic order in derivatives, constructing in the process the effective field theory governing its attenuated dynamics and associated stochastic fluctuations. We also remark on the presence of additional spatially homogeneous zero modes in the gravitational problem, which remain disconnected from the phonon Goldstone mode.

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