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

Abstract

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.

v1: 59 pages, 11 multi-figures; v2: 53 pages in JHEP style, refs added, one appendix added, revised the partially off-shell procedure based on bulk path integral

References in corpus (22)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
• Nonlinear Fluid Dynamics from Gravity
• Viscosity, Black Holes, and Quantum Field Theory
• Schwinger-Keldysh Propagators from AdS/CFT Correspondence
• Holographic Superconductors with Various Condensates
• Real-time response in AdS/CFT with application to spinors
• Photon and dilepton production in supersymmetric Yang-Mills plasma
• Holographic spectral functions and diffusion constants for fundamental matter
• The stickiness of sound: An absolute lower limit on viscosity and the breakdown of second order relativistic hydrodynamics
• Thermal Noise and Stochastic Strings in AdS/CFT
• A kinetic regime of hydrodynamic fluctuations and long time tails for a Bjorken expansion
• Deconstructing holographic liquids
• Towards an effective action for relativistic dissipative hydrodynamics
• Real-time gauge/gravity duality and ingoing boundary conditions
• Thermally Fluctuating Second-Order Viscous Hydrodynamics and Heavy-Ion Collisions
• Linearized fluid/gravity correspondence: from shear viscosity to all order hydrodynamics
• All Order Linearized Hydrodynamics from Fluid/Gravity Correspondence
• Causal Baryon Diffusion and Colored Noise
• Linearly resummed hydrodynamics in a weakly curved spacetime
• Hydrodynamic effective field theory and the analyticity of hydrostatic correlators
• Holographic KMS relations at finite density

Cited by in corpus (14)

• An effective description of momentum diffusion in a charged plasma from holography
• U(1) quasi-hydrodynamics: Schwinger-Keldysh effective field theory and holography
• Motion of a superfluid vortex according to holographic quantum dissipation
• Ginzburg-Landau effective action for a fluctuating holographic superconductor
• Schwinger-Keldysh effective action for relativistic Brownian particle in AdS-CFT
• The timbre of Hawking gravitons: an effective description of energy transport from holography
• Zero sound and higher-form symmetries in compressible holographic phases
• An effective description of charge diffusion and energy transport in a charged plasma from holography
• Holographic Schwinger-Keldysh field theory of SU(2) diffusion
• Long-time tails in the SYK chain from the effective field theory with a large number of derivatives
• Holographic Schwinger-Keldysh effective field theories including a non-hydrodynamic mode
• Chiral Anomalous Magnetohydrodynamics in action: effective field theory and holography
• Analytic structure of diffusive correlation functions
• Chiral phase transition: effective field theory and holography