# Holographic Schwinger-Keldysh field theory of SU(2) diffusion

@article{Bu2022HolographicSF, title={Holographic Schwinger-Keldysh field theory of SU(2) diffusion}, author={Yanyan Bu and Xiyang Sun and Biye Zhang}, journal={Journal of High Energy Physics}, year={2022}, volume={2022}, pages={1-34} }

We construct effective field theory for SU(2) isospin charge diffusion, based on holographic Schwinger-Keldysh contour [1]. The holographic model consists of a probe SU(2) gauge field in a doubled Schwarzschild-AdS 5 geometry. Accurate to first order in derivative expansion, we analytically compute the effective action up to quartic order in dynamical variables. The effective theory contains both non-Gaussianity for noises and nonlinear interactions between noises and dynamical variables…

## 2 Citations

### An Effective Theory Of Anomalous Momentum Diffusion From Holography

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: We consider a U (1) Maxwell-Chern-Simons theory in 5-dimensions, and analyze the vector perturbations around a classical charged black-brane background. We solve the equations of motion for these…

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

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- 2022

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…

## References

SHOWING 1-10 OF 74 REFERENCES

### Holographic Schwinger-Keldysh effective field theories

- PhysicsJournal of High Energy Physics
- 2019

A bstractWe construct a holographic dual of the Schwinger-Keldysh effective action for the dissipative low-energy dynamics of relativistic charged matter at strong coupling in a fixed thermal…

### Fermionic Open EFT from Holography

- Physics
- 2020

In this work we initiate the study of open effective field theories of fermions interacting with holographic baths. As a first step in this direction, we explain how the recently identified…

### Holographic nonlinear hydrodynamics from AdS/CFT with multiple/non-abelian symmetries

- Physics
- 2009

We study viscous hydrodynamics of hot conformal field theory plasma with multiple/non-Abelian symmetries in the framework of AdS/CFT correspondence, using a recently proposed method of directly…

### Holographic KMS relations at finite density

- Physics
- 2020

We extend the holographic Schwinger-Keldysh prescription introduced in [1] to charged black branes, with a view towards studying Hawking radiation in these backgrounds. Equivalently we study the real…

### Schwinger-Keldysh effective action for a relativistic Brownian particle in the AdS/CFT correspondence

- PhysicsPhysical Review D
- 2021

We compute Schwinger-Keldysh effective action for a relativistic heavy quark (with constant background velocity) in strongly coupled N = 4 supersymmetric Yang-Mills plasma. The holographic dual…

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

- PhysicsJournal of High Energy Physics
- 2020

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.…

### Open quantum systems and Schwinger-Keldysh holograms

- PhysicsJournal of High Energy Physics
- 2020

We initiate the study of open quantum field theories using holographic methods. Specifically, we consider a quantum field theory (the system) coupled to a holographic field theory at finite…

### Holographic renormalization and the electroweak precision parameters

- Physics
- 2010

We study the effects of holographic renormalization on an AdS/QCD inspired description of dynamical electroweak symmetry breaking. Our model is a 5D slice of AdS{sub 5} geometry containing a bulk…

### Deconstructing holographic liquids

- Physics
- 2011

We argue that there exist simple effective field theories describing the long-distance dynamics of holographic liquids. The degrees of freedom responsible for the transport of charge and…

### Ginzburg-Landau effective action for a fluctuating holographic superconductor

- PhysicsJournal of High Energy Physics
- 2021

Abstract
Under holographic prescription for Schwinger-Keldysh closed time contour for non-equilibrium system, we consider fluctuation effect of the order parameter in a holographic superconductor…