Nambu-Goldstone modes in non-equilibrium systems from AdS/CFT correspondence
arXiv:2012.01177 · doi:10.1007/JHEP04(2021)040
Abstract
We investigate dispersion relation of Nambu-Goldstone modes in a dissipative system realized by the AdS/CFT correspondence. We employ the D3/D7 model which represents supersymmetric Yang-Mills theory coupled to flavor fields. If we consider massless quarks in the presence of an external magnetic field, the system exhibits the phase transition associated with the spontaneous symmetry breaking of the chiral symmetry. We find that the Nambu-Goldstone modes shows a diffusive behavior in the dispersion relation, which agrees with that found with the effective field theory approach. We also study a non-equilibrium steady state which has a constant current flow in the presence of an external electric field. In a non-equilibrium steady state, we find that the Nambu-Goldstone modes shows a linear dispersion in the real part of the frequency in addition to the diffusive behavior. Moreover, we analyze the linear dispersion of the Nambu-Goldstone modes in the hydrodynamic approximation. As a result, we find that the linear dispersion can be written as the analytic functions of quantities in the dual field theory. Our results imply that such a linear dispersion is a characteristic behavior of Nambu-Goldstone modes in a non-equilibrium steady state.
arXiv commentv1: 20 pages, 8 figures, v2: minor corrections, references added, v3: 26 pages, 11 figures, clarified discussions in Section 3 and Section 4, added Appendix B and Appendix C, references fixed; version accepted in JHEP
References in corpus (39)
- Gauge Theory Correlators from Non-Critical String Theory
- Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
- Adding flavor to AdS/CFT
- Meson Spectroscopy in AdS/CFT with Flavour
- Metallic AdS/CFT
- Thermodynamics of the brane
- Holographic quantum matter
- Holographic spectral functions and diffusion constants for fundamental matter
- Hydrodynamics of Holographic Superconductors
- Holographic Operator Mixing and Quasinormal Modes on the Brane
- A holographic view on physics out of equilibrium
- Finite Temperature Large N Gauge Theory with Quarks in an External Magnetic Field
- Holography and hydrodynamics with weakly broken symmetries
- Gapped momentum states
- Emergence and evolution of -gap in spectra of liquid and supercritical states
- Hall Conductivity of Flavor Fields from AdS/CFT
- Holographic Description of the Phase Diagram of a Chiral Symmetry Breaking Gauge Theory
- Black hole elasticity and gapped transverse phonons in holography
- Anomalous Magneto Response and the Stückelberg Axion in Holography
- Universal Holographic Chiral Dynamics in an External Magnetic Field
- Gapless and gapped holographic phonons
- Zoology of Solid & Fluid Holography : Goldstone Modes and Phase Relaxation
- Spontaneous symmetry breaking and Nambu-Goldstone modes in dissipative systems
- Quasinormal modes of massive charged flavor branes
- Low frequency propagating shear waves in holographic liquids
- Maxwell interpolation and close similarities between liquids and holographic models
- Effective Lagrangian for Nambu-Goldstone modes in nonequilibrium open systems
- Holographic Spectral Functions in Metallic AdS/CFT
- Enumeration of lifts of commuting elements of a group
- Chiral helix in AdS/CFT with flavor
- Holographic Flavor Transport in Arbitrary Constant Background Fields
- Exotic Holographic Dispersion
- Chiral phase transitions and quantum critical points of the D3/D7(D5) system with mutually perpendicular E and B fields at finite temperature and density
- Large D holography with metric deformations
- Low-energy modes in anisotropic holographic fluids
- Hydrodynamic Modes of a holographic wave superfluid
- Current-driven tricritical point in large- gauge theory
- Diffusive Nambu-Goldstone modes in quantum time-crystals
- Mechanism for Negative Differential Conductivity in Holographic Conductors
Cited by in corpus (9)
- Weak Gravity Conjecture from Conformal Field Theory: A Challenge from Hyperscaling Violating and Kerr-Newman-AdS Black Holes
- Pion dynamics in a soft-wall AdS-QCD model
- Dynamical stability and filamentary instability in holographic conductors
- Current-induced inverse symmetry breaking and asymmetric critical phenomena at current-driven tricritical point
- Twisted kink crystal in holographic superconductor
- Effective field theory of fluctuating wall in open systems: from a kink in Josephson junction to general domain wall
- A domain wall and chiral edge currents in holographic chiral phase transitions
- Tricritical phenomena in holographic chiral phase transitions
- Dynamical Stability and Critical Exponents of the Neutral (S-type) Gubser-Rocha Model with Momentum Dissipation