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arXiv 2007.14418hep-th
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复动量荷电流体中的拟正规模

Quasinormal modes in charged fluids at complex momentum

Aron Jansen, Christiana Pantelidou

摘要:

我们研究的收敛性相对论流体力学在带电流体,全息的框架内。一方面,我们考虑的色散关系的流体动力学模式的复频率和动量平面上的解析性质,另一方面,我们执行的色散关系在小动量到一个很高的顺序微扰展开。我们看到,使用第一种方法提取的分支点的位置是在良好的定量协议与扰动提取的收敛半径。我们看到,对于不同的电荷值,不同类型的极点碰撞设置了收敛半径。后者原来是有限的中性情况下,所有的流体动力模式,而它去为零的极端的剪切和声音模式。此外,我们还建立了Reissner-Nordstrom黑洞的极点跳跃现象,我们发现,发生这种现象的动量值不需要在流体力学的收敛半径内。

英文摘要:

We investigate the convergence of relativistic hydrodynamics in charged fluids, within the framework of holography. On the one hand, we consider the analyticity properties of the dispersion relations of the hydrodynamic modes on the complex frequency and momentum plane and on the other hand, we perform a perturbative expansion of the dispersion relations in small momenta to a very high order. We see that the locations of the branch points extracted using the first approach are in good quantitative agreement with the radius of convergence extracted perturbatively. We see that for different values of the charge, different types of pole collisions set the radius of convergence. The latter turns out to be finite in the neutral case for all hydrodynamic modes, while it goes to zero at extremality for the shear and sound modes. Furthermore, we also establish the phenomenon of pole-skipping for the Reissner-Nordstrom black hole, and we find that the value of the momentum for which this phenomenon occurs need not be within the radius of convergence of hydrodynamics.

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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