All order effective action for charge diffusion from Schwinger-Keldysh holography

A bstract An effective action for diffusion of a conserved U(1) charge is derived to all orders in the derivative expansion within a holographic model dual to the Schwinger-Keldysh closed time path. A systematic approach to solution of the 5D Maxwell equations in a doubled Schwarzschild-AdS 5 black...

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Bibliographic Details
Published in:The journal of high energy physics 2021-05, Vol.2021 (5), p.1-54, Article 187
Main Authors: Bu, Yanyan, Demircik, Tuna, Lublinsky, Michael
Format: Article
Language:English
Subjects:
AdS-CFT Correspondence
Causality
Classical and Quantum Gravitation
Constitutive relationships
Elementary Particles
Equilibrium
Fluid mechanics
Gauge-gravity correspondence
Geometry
High energy physics
Holography
Holography and condensed matter physics (AdS/CMT)
Holography and quark-gluon plasmas
Mathematical analysis
Maxwell's equations
Noise
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Transport properties
Viscosity
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Summary:A bstract An effective action for diffusion of a conserved U(1) charge is derived to all orders in the derivative expansion within a holographic model dual to the Schwinger-Keldysh closed time path. A systematic approach to solution of the 5D Maxwell equations in a doubled Schwarzschild-AdS 5 black brane geometry is developed. Constitutive relation for the stochastic charge current is shown to have a term induced by thermal fluctuations (coloured noise). All transport coefficient functions parameterising the effective action and constitutive relations are computed analytically in the hydrodynamic expansion, and then numerically for finite momenta.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP05(2021)187