Holographic operator mixing and quasinormal modes on the brane

By M. Kaminski, K. Landsteiner, J. Mas, Jonathan P. Shock, J. Tarrío. 2009

163 citations recorded by the source corpus.

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, and hence, free from renormalization ambiguities. 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 those of 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.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/94a43cd7919c2c03795c06440f1641347ca7bb83

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In Nuclear and High Energy Physics

Citations in the corpus

Momentum relaxation in holographic massive gravity (2013, methodology): “Using the usual holographic prescription [62,63], we find that the retarded Green’s functions of the dual field theory in the limit ω, k,mα, mβ ≪ T are (up to contact terms) GRT tyT ty (ω, k) = L(2) 2κ(2)4r 3 0 3r(2) 0k 2 + 6 ( m(2)αr 2 0 +m 2 βr 2 0 )”
Momentum dissipation and effective theories of coherent and incoherent transport (2014, background): “We refer the reader to [84, 85] for more technical details.”
Holographic gravitational anomaly and chiral vortical effect (2011, background): “11) Inserting these fluctuations-background fields in the action and expanding up to second order in ǫ we can read the second order action which is needed to get the desired propagators [73].”