An effective description of charge diffusion and energy transport in a charged plasma from holography

A bstract We discuss the physics of sound propagation and charge diffusion in a plasma with non-vanishing charge density. Our analysis culminates the program initiated in [1] to construct an open effective field theory of low-lying modes of the stress tensor and charge current in such plasmas. We mo...

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Bibliographic Details
Published in:The journal of high energy physics 2023-03, Vol.2023 (3), p.161-59, Article 161
Main Authors: He, Temple, Loganayagam, R., Rangamani, Mukund, Virrueta, Julio
Format: Article
Language:English
Subjects:
AdS-CFT Correspondence
Black holes
Charge density
Classical and Quantum Gravitation
Diffusion
Dilatons
Elementary Particles
Energy
Field theory
Fluid mechanics
Gauge-Gravity Correspondence
Geometry
Gravitons
High energy physics
Holography
Holography and Hydrodynamics
Perturbation
Physics
Physics and Astronomy
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Plasma
Propagation
Quantum Dissipative Systems
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Scalars
Sound propagation
Spacetime
String Theory
Tensors
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Summary:A bstract We discuss the physics of sound propagation and charge diffusion in a plasma with non-vanishing charge density. Our analysis culminates the program initiated in [1] to construct an open effective field theory of low-lying modes of the stress tensor and charge current in such plasmas. We model the plasma holographically as a Reissner-Nordström-AdS d +1 black hole, and study linearized fluctuations of longitudinally polarized scalar gravitons and photons in this background. We demonstrate that the perturbations can be decoupled and repackaged into the dynamics of two designer scalars, whose gravitational coupling is modulated by a non-trivial dilatonic factor. The holographic analysis allows us to isolate the phonon mode from the charge diffusion mode, and identify the combination of currents that corresponds to each of them. We use these results to obtain the real-time Gaussian effective action, which includes both the retarded response and the associated stochastic (Hawking) fluctuations, accurate to quartic order in gradients.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP03(2023)161