The holographic spectral function in non-equilibrium states

Abstract

We develop holographic prescriptions for obtaining spectral functions in non-equilibrium states and space-time dependent non-equilibrium shifts in the energy and spin of quasi-particle like excitations. We reproduce strongly coupled versions of aspects of non-equilibrium dynamics of Fermi surfaces in Landau's Fermi-liquid theory. We find that the incoming wave boundary condition at the horizon does not suffice to obtain a well-defined perturbative expansion for non-equilibrium observables. Our prescription, based on analysis of regularity at the horizon, allows such a perturbative expansion to be achieved nevertheless and can be precisely formulated in a universal manner independent of the non-equilibrium state, provided the state thermalizes. We also find that the non-equilibrium spectral function furnishes information about the relaxation modes of the system. Along the way, we argue that in a typical non-supersymmetric theory with a gravity dual, there may exist a window of temperature and chemical potential at large N, in which a generic non-equilibrium state can be characterized by just a finitely few operators with low scaling dimensions, even far away from the hydrodynamic limit.

revtex; 43 pages, 2 figures; typos corrected, accepted for publication in PRD

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Cited by in corpus (10)

• Thermalization of the spectral function in strongly coupled two dimensional conformal field theories
• Inhomogeneous holographic thermalization
• Holographic thermalization in N=4 Super Yang-Mills theory at finite coupling
• Phenomenological characterisation of semi-holographic non-Fermi liquids
• Non-equilibrium fluctuation-dissipation relation from holography
• Time-dependence of the holographic spectral function: Diverse routes to thermalisation
• Holographic Quenches and Fermionic Spectral Functions
• Exact time dependence of causal correlations and nonequilibrium density matrices in holographic systems
• Correlation functions of the Bjorken flow in the holographic Schwinger-Keldysh approach
• The spectral function in a strongly coupled, thermalising CFT