Browsing by Subject "Gauge/gravity duality"
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Item Hydrodynamics of strongly coupled non-conformal fluids from gauge/gravity duality.(2009-08) Springer, Greggory ToddThe subject of relativistic hydrodynamics is explored using the tools of gauge/gravity duality. A brief literature review of AdS/CFT and gauge/gravity duality is presented first. This is followed by a pedagogical introduction to the use of these methods in determining hydrodynamic dispersion relations, w(q), of perturbations in a strongly coupled fluid. Shear and sound mode perturbations are examined in a special class of gravity duals: those where the matter supporting the metric is scalar in nature. Analytical solutions (to order q4 and q3 respectively) for the shear and sound mode dispersion relations are presented for a subset of these backgrounds. The work presented here is based on previous publications by the same author [1], [2], and [3], though some previously unpublished results are also included. In particular, the subleading term in the shear mode dispersion relation is analyzed using the AdS/CFT correspondence without any reference to the black hole membrane paradigm.Item Meson spectra from a dynamical three-field model of AdS/QCD(2014-08) Bartz, Sean PeterGauge/gravity dualities are tools that allow for the analytic study of strongly- coupled gauge theories. The Anti-de Sitter Space/Conformal Field Theory conjecture posits a duality between ten-dimensional string theory and a super Yang-Mills theory. A phenomenologically-motivated modification of this correspondence is known as AdS/QCD, a proposed duality between strongly-coupled QCD-like theories and weakly- coupled gravitational theories in an additional dimension. QCD is not scale-invariant, so the dual theory must be modified in the conformal dimension to reflect this.This thesis examines soft-wall models of AdS/QCD, wherein the conformal symmetry is broken by a field known as a dilaton. The dynamics of the dilaton and other background fields are examined, and a potential for these fields is determined. The back- ground fields are numerically derived from this potential and used in the calculation of meson spectra, which match experiment well.