2009/11/18 by Matthias Kaminski, Karl Landsteiner, Javier Mas +3 · 148 citations
Physics and Astronomy · #Asymptote #Black Holes and Theoretical Physics #Brane #Dispersion relation #Gauge theory #High-Energy Particle Collisions Research #Mixing (physics) #Operator (biology) #Quantum Chromodynamics and Particle Interactions #Quasinormal mode #Renormalization #Scalar (mathematics) #Scalar field #hep-th
paper · pdf · doi:10.1007/jhep02(2010)021
published in Journal of High Energy Physics 2010(2) (Springer Nature) · 42 pages, 12 figures
arxiv created 2009/11/18 · openalex publication_date 2010/02/01 · arxiv updated 2014/11/20 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We provide a framework for calculating holographic Green's functions from general bilinear actions and fields obeying coupled differential equations in the bulk. The matrix-valued spectral function is shown to be independent of the radial bulk coordinate. Applying this framework we improve the analysis of fluctuations in the D3/D7 system at finite baryon density, where the longitudinal perturbations of the world-volume gauge field couple to the scalar fluctuations of the brane embedding. We compute the spectral function and show how its properties are related to the quasinormal mode spectrum. We study the crossover from the hydrodynamic diffusive to the reactive regime and the movement of quasinormal modes as functions of temperature and density. We also compute their dispersion relations and find that they asymptote to the lightcone for large momenta.