Analytic long-lived modes in charged critical plasma

Abstract 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...

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Main Authors: Umut Gürsoy, Matti Järvinen, Giuseppe Policastro, Natale Zinnato
Format: Article
Language:English
Published: SpringerOpen 2022-06-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP06(2022)018
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author Umut Gürsoy
Matti Järvinen
Giuseppe Policastro
Natale Zinnato
author_facet Umut Gürsoy
Matti Järvinen
Giuseppe Policastro
Natale Zinnato
author_sort Umut Gürsoy
collection DOAJ
description Abstract 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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spelling doaj.art-0424a5cc4c374b689426c662855e91c12023-03-22T10:12:33ZengSpringerOpenJournal of High Energy Physics1029-84792022-06-012022614710.1007/JHEP06(2022)018Analytic long-lived modes in charged critical plasmaUmut Gürsoy0Matti Järvinen1Giuseppe Policastro2Natale Zinnato3Institute for Theoretical Physics, Utrecht UniversityAsia Pacific Center for Theoretical PhysicsLaboratoire de Physique de l’Ecole normale supérieure, ENS, Université PSL, CNRS, Sorbonne Université, Université de ParisInstitute for Theoretical Physics, Utrecht UniversityAbstract 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.https://doi.org/10.1007/JHEP06(2022)018Black Holes in String TheoryGauge-Gravity CorrespondenceHolography and Hydrodynamics
spellingShingle Umut Gürsoy
Matti Järvinen
Giuseppe Policastro
Natale Zinnato
Analytic long-lived modes in charged critical plasma
Journal of High Energy Physics
Black Holes in String Theory
Gauge-Gravity Correspondence
Holography and Hydrodynamics
title Analytic long-lived modes in charged critical plasma
title_full Analytic long-lived modes in charged critical plasma
title_fullStr Analytic long-lived modes in charged critical plasma
title_full_unstemmed Analytic long-lived modes in charged critical plasma
title_short Analytic long-lived modes in charged critical plasma
title_sort analytic long lived modes in charged critical plasma
topic Black Holes in String Theory
Gauge-Gravity Correspondence
Holography and Hydrodynamics
url https://doi.org/10.1007/JHEP06(2022)018
work_keys_str_mv AT umutgursoy analyticlonglivedmodesinchargedcriticalplasma
AT mattijarvinen analyticlonglivedmodesinchargedcriticalplasma
AT giuseppepolicastro analyticlonglivedmodesinchargedcriticalplasma
AT natalezinnato analyticlonglivedmodesinchargedcriticalplasma