A Massive Quasi-normal Mode in the Holographic Lifshitz Theory
arXiv:1312.0826 · doi:10.1103/PhysRevD.89.066003
Abstract
We investigate the holographic renormalization of the Einstein-Maxwell-dilaton theory which provides an asymptotic Lifshitz geometry dual to a Lifshitz field theory. In this case, the existence of a field combination with zero scaling dimension causes an ambiguity in fixing local counter terms. Nevertheless, we show that all possible local counter terms give rise to consistent thermodynamic quantities with the Lifshitz black brane results. In addition, we also study the retarded Green functions of the current and momentum operator of a non-relativistic Lifshitz field theory. In the non-zero momentum regime, the results show intriguingly that there exists a massive quasi-normal mode whose effective mass is linearly proportional to temperature and that even at zero temperature there exists a quasi-normal mode in the non-relativistic Lifshitz medium.
18 page
References in corpus (17)
- Building an AdS/CFT superconductor
- Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
- Lectures on Holographic Superfluidity and Superconductivity
- Effective Holographic Theories for low-temperature condensed matter systems
- Universality of the hydrodynamic limit in AdS/CFT and the membrane paradigm
- Non-relativistic holography
- Holography of Dyonic Dilaton Black Branes
- Holographic stress tensor for non-relativistic theories
- Quantum criticality and black holes
- Strange Metallic Behavior in Anisotropic Background
- Lifshitz as a deformation of Anti-de Sitter
- Conductivity and Diffusion Constant in Lifshitz Backgrounds
- Holographic meson mass splitting in the Nuclear Matter
- Conductivity in the anisotropic background
- Non-conformal Hydrodynamics in Einstein-dilaton Theory
- Lifshitz from AdS at finite temperature and top down models
- Transport in non-conformal holographic fluids
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