U(1) quasi-hydrodynamics: Schwinger-Keldysh effective field theory and holography
arXiv:2304.14173 · doi:10.1007/JHEP09(2023)019
Abstract
We study the quasi-hydrodynamics of a system with a softly broken global symmetry using effective field theory (EFT) and holographic methods. In the gravity side, we consider a holographic Proca model in the limit of small bulk mass, which is responsible for a controllable explicit breaking of the global symmetry in the boundary field theory. We perform a holographic Schwinger-Keldysh analysis, which allows us to derive the form of the boundary effective action in presence of dissipation. We compare our results with the previously proposed EFT and hydrodynamic theories, and we confirm their validity by computing the low-energy quasi-normal modes spectrum analytically and numerically. Additionally, we derive the broken holographic Ward identity for the current, and discuss the recently proposed novel transport coefficients for systems with explicitly broken symmetries. The setup considered is expected to serve as a toy model for more realistic situations where quasi-hydrodynamics is at work, such as axial charge relaxation in QCD, spin relaxation in relativistic systems, electric field relaxation in magneto-hydrodynamics, or momentum relaxation in condensed matter systems.
v3: matches published version, v2: new subsection, references added, minor edits; v1: 44 pages, 4 figures
References in corpus (37)
- Fracton hydrodynamics
- Towards an effective action for relativistic dissipative hydrodynamics
- Open quantum systems and Schwinger-Keldysh holograms
- Anomalous Magneto Response and the Stückelberg Axion in Holography
- Colloquium: Hydrodynamics and holography of charge density wave phases
- (Non)renormalization of Anomalous Conductivities and Holography
- Deformations, relaxation and broken symmetries in liquids, solids and glasses: a unified topological field theory
- Transport and hydrodynamics in the chiral limit
- Spin relaxation rate for heavy quarks in weakly coupled QCD plasma
- Effective Field Theory for Quasicrystals and Phasons Dynamics
- Pseudo-spontaneous Symmetry Breaking in Hydrodynamics and Holography
- Damping of Pseudo-Goldstone Fields
- Holography and magnetohydrodynamics with dynamical gauge fields
- A Holographic Superfluid Symphony
- Symmetric-hyperbolic quasi-hydrodynamics
- Effective field theory of stochastic diffusion from gravity
- Axial current generation by P-odd domains in QCD matter
- Holographic open quantum systems: Toy models and analytic properties of thermal correlators
- On the Hydrodynamic Description of Holographic Viscoelastic Models
- Pion dynamics in a soft-wall AdS-QCD model
- An effective description of momentum diffusion in a charged plasma from holography
- Dissipation in Holographic Superfluids
- All order effective action for charge diffusion from Schwinger-Keldysh holography
- Thermal three-point functions from holographic Schwinger-Keldysh contours
- The Universal Time-Dependent Ginzburg-Landau theory
- Ginzburg-Landau effective action for a fluctuating holographic superconductor
- Schwinger-Keldysh effective action for relativistic Brownian particle in AdS-CFT
- Phase relaxation and pattern formation in holographic gapless charge density waves
- The timbre of Hawking gravitons: an effective description of energy transport from holography
- Holographic KMS relations at finite density
- Does quark-gluon plasma feature an extended hydrodynamic regime?
- Non-dissipative electrically driven fluids
- Non-equilibrium effective field theory and second sound
- An effective description of charge diffusion and energy transport in a charged plasma from holography
- Holographic Schwinger-Keldysh field theory of SU(2) diffusion
- Anomalous conductivities in the holographic Stuckelberg model
- Holographic Dissipation from the Symplectic Current
Cited by in corpus (12)
- Relaxed hydrodynamic theory of electrically driven non-equilibrium steady states
- Real-time dynamics of axial charge and chiral magnetic current in a non-Abelian expanding plasma
- Chiral magnetic waves in strongly coupled Weyl semimetals
- Holographic Schwinger-Keldysh effective field theories including a non-hydrodynamic mode
- Chiral Anomalous Magnetohydrodynamics in action: effective field theory and holography
- Simple holographic dual of the Maxwell-Cattaneo model & the fate of KMS symmetry for non-hydrodynamic modes
- Effective Description of Ajar Systems with a Symmetry
- Non-equilibrium dynamics of Goldstone excitation from holography
- Chiral phase transition: effective field theory and holography
- Wilsonian renormalisation group and thermal field theory in the Schwinger-Keldysh closed-time-path formalism
- Perfect spinfluid: A divergence-type approach
- Emergent structures in open EFTs