Analytic long-lived modes in charged critical plasma

被引:2
|
作者
Gursoy, Umut [1 ]
Jarvinen, Matti [2 ,3 ]
Policastro, Giuseppe [4 ]
Zinnato, Natale [1 ]
机构
[1] Univ Utrecht, Inst Theoret Phys, Leuvenlaan 4, NL-3584 CE Utrecht, Netherlands
[2] Asia Pacific Ctr Theoret Phys, 77 Cheongam Ro, Pohang 37673, South Korea
[3] Pohang Univ Sci & Technol, Dept Phys, 77 Cheongam Ro, Pohang 37673, South Korea
[4] Univ PSL, Sorbonne Univ, Univ Paris, Lab Phys,Ecole Normale Super, 24 Rue Lhomond, F-75005 Paris, France
基金
新加坡国家研究基金会;
关键词
Black Holes in String Theory; Gauge-Gravity Correspondence; Holography and Hydrodynamics; QCD;
D O I
10.1007/JHEP06(2022)018
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
Fluctuations around critical behavior of a holographic charged plasma are investigated by studying quasi-normal modes of the corresponding black branes in 5D Einstein-Maxwell-Dilaton gravity. The near horizon geometry of black branes approaches the well-known 2D charged string black hole in the critical limit, for which a world-sheet description is available, and the corresponding quasi-normal modes can be obtained analytically from the reflection amplitude of the 2D black hole geometry. We find two distinct set of modes: a purely imaginary "decoupled" set, directly following from the reflection amplitude, and a "non-decoupled" set that was already identified in the neutral holographic plasma in [1]. In the extremal limit, the former set of imaginary quasi-normal modes coalesce on a branch cut starting from the origin, signaling breakdown of hydrodynamic approximation. We further complete the black brane geometry with a slice of AdS near the boundary, to allow for a holographic construction, and find another set of modes localized in the UV. Finally, we develop an alternative WKB method to obtain the quasi-normal modes in the critical limit and apply this method to study the spectrum of hyperscaling-violating Lifshitz black branes. The critical limit of the plasma we consider in this paper is in one-to-one correspondence with the large D limit of Einstein's gravity which allows for an alternative interesting interpretation of our findings.
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页数:47
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