Lifshitz quasinormal modes and relaxation from holography

Abstract

We obtain relaxation times for field theories with Lifshitz scaling and with holographic duals Einstein-Maxwell-Dilaton gravity theories. This is done by computing quasinormal modes of a bulk scalar field in the presence of Lifshitz black branes. We determine the relation between relaxation time and dynamical exponent z, for various values of boundary dimension d and operator scaling dimension. It is found that for d>z+1, at zero momenta, the modes are non-overdamped, whereas for d<=z+1 the system is always overdamped. For d=z+1 and zero momenta, we present analytical results.

arXiv comment16 pages and 5 figures

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• Correlation functions in theories with Lifshitz scaling
• Holographic Equilibration of Nonrelativistic Plasmas
• Holographic Lifshitz superconductors: Analytic solution
• String-Theory-Based Predictions for Nonhydrodynamic Collective Modes in Strongly Interacting Fermi Gases
• Quasinormal modes of Four Dimensional Topological Nonlinear Charged Lifshitz Black Holes
• Dynamical evolution of non-minimally coupled scalar field in spherically symmetric de Sitter spacetimes
• Extreme Dilaton Black Holes in 2 +1 Dimensions: Quasinormal modes
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• Dispersion relations in non-relativistic two-dimensional materials from quasinormal modes in Hořava Gravity
• Symmetry breaking in holographic theories with Lifshitz scaling
• Connection formulae in the Collision Limit I: Case Studies in Lifshitz Geometry
• Diffusion and instabilities in large-N holographic Fermi liquids: the vector fluctuations of the electron star
• Gravitational quasinormal modes for Lifshitz black branes