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Article Dans Une Revue Journal of High Energy Physics Année : 2022

Analytic long-lived modes in charged critical plasma

Umut Gursoy
  • Fonction : Auteur
Matti Järvinen
  • Fonction : Auteur
Giuseppe Policastro
Natale Zinnato
  • Fonction : Auteur

Résumé

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.

Dates et versions

hal-03498988 , version 1 (21-12-2021)

Identifiants

Citer

Umut Gursoy, Matti Järvinen, Giuseppe Policastro, Natale Zinnato. Analytic long-lived modes in charged critical plasma. Journal of High Energy Physics, 2022, 06, pp.018. ⟨10.1007/JHEP06(2022)018⟩. ⟨hal-03498988⟩
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