Complexified quasinormal modes and the pole-skipping in a holographic system at finite chemical potential

doi:10.1007/JHEP10(2020)076

	Complexified quasinormal modes and the pole-skipping in a holographic system at finite chemical potential
	Abbasi, Navid 2; Tahery, Sara 1
刊名	JOURNAL OF HIGH ENERGY PHYSICS
	2020
卷号	2020 期号:10 页码:52
关键词	Gauge-gravity correspondence AdS-CFT Correspondence
ISSN号	1029-8479
DOI	10.1007/JHEP10(2020)076
其他题名	Complexified quasinormal modes and the pole-skipping in a holographic system at finite chemical potential
通讯作者	Abbasi, Navid(abbasi@lzu.edu.cn)
英文摘要	We develop a method to study coupled dynamics of gauge-invariant variables, constructed out of metric and gauge field fluctuations on the background of a AdS(5) Reissner-Nordstrom black brane. Using this method, we compute the numerical spectrum of quasinormal modes associated with fluctuations of spin 0, 1 and 2, non-perturbatively in mu /T . We also analytically compute the spectrum of hydrodynamic excitations in the small chemical potential limit. Then, by studying the spectral curve at complex momenta in every spin channel, we numerically find points at which hydrodynamic and non-hydrodynamic poles collide. We discuss the relation between such collision points and the convergence radius of the hydrodynamic derivative expansion. Specifically in the spin 0 channel, we find that within the range 1.1 mu /T 2, the radius of convergence of the hydrodynamic sound mode is set by the absolute value of the complex momentum corresponding to the point at which the sound pole collides with the hydrodynamic diffusion pole. It shows that in holographic systems at finite chemical potential, the convergence of the hydrodynamic derivative expansion in the mentioned range is fully controlled by hydrodynamic informa- tion. As the last result, we explicitly show that the relevant information about quantum chaos in our system can be extracted from the pole-skipping points of energy density re- sponse function. We find a threshold value for mu /T , lower than which the pole-skipping points can be computed perturbatively in a derivative expansion.
资助项目	[National Natural Science Foundation of China]
WOS关键词	TRANSPORT-COEFFICIENTS ; BLACK-HOLES ; HYDRODYNAMICS ; DEPENDENCE ; VISCOSITY
WOS研究方向	Physics
语种	英语
出版者	SPRINGER
WOS记录号	WOS:000583384300002
资助机构	National Natural Science Foundation of China
内容类型	期刊论文
源URL	[http://119.78.100.186/handle/113462/136968]
专题	中国科学院近代物理研究所
作者单位	1.Institute of Modern Physics, Chinese Academy of Sciences 2.兰州大学
推荐引用方式 GB/T 7714	Abbasi, Navid,Tahery, Sara. Complexified quasinormal modes and the pole-skipping in a holographic system at finite chemical potential[J]. JOURNAL OF HIGH ENERGY PHYSICS,2020,2020(10):52.
APA	Abbasi, Navid,&Tahery, Sara.(2020).Complexified quasinormal modes and the pole-skipping in a holographic system at finite chemical potential.JOURNAL OF HIGH ENERGY PHYSICS,2020(10),52.
MLA	Abbasi, Navid,et al."Complexified quasinormal modes and the pole-skipping in a holographic system at finite chemical potential".JOURNAL OF HIGH ENERGY PHYSICS 2020.10(2020):52.