51. Analytic long-lived modes in charged critical plasma
- Author
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Gürsoy, Umut, Järvinen, Matti, Policastro, Giuseppe, Zinnato, Natale, Sub String Theory Cosmology and ElemPart, Theoretical Physics, Laboratoire de physique de l'ENS - ENS Paris (LPENS), Centre National de la Recherche Scientifique (CNRS)-Université de Paris (UP)-Sorbonne Université (SU)-École normale supérieure - Paris (ENS Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL), Laboratoire de physique de l'ENS - ENS Paris (LPENS (UMR_8023)), École normale supérieure - Paris (ENS Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université de Paris (UP), Sub String Theory Cosmology and ElemPart, and Theoretical Physics
- Subjects
High Energy Physics - Theory ,coalescence ,Nuclear and High Energy Physics ,geometry ,long-lived ,FOS: Physical sciences ,horizon ,black brane ,Holography and Hydrodynamics ,decoupling ,General Relativity and Quantum Cosmology ,Black Holes in String Theory ,black hole ,anti-de Sitter ,WKB approximation ,approximation ,plasma ,Gauge-Gravity Correspondence ,fluctuation ,[PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th] ,critical phenomena ,High Energy Physics - Theory (hep-th) ,gravitation ,string ,hydrodynamics ,Lifshitz ,Einstein ,holography ,reflection - Abstract
Fluctuations around critical behavior of a holographic charged plasmas 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 \cite{Betzios:2018kwn}. In the extremal limit, the former set of imaginary quasi-normal modes coalesce on a branch cut starting from the 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., 47 pages, 9 figures
- Published
- 2021