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In-medium effects in the holographic quark-gluon plasma

In this dissertation we use the D3/D7 model in gauge/gravity duality to investigate the effects of finite temperature and particle density on matter in strongly coupled super-Yang-Mills gauge theories, which we interpret as models for the quark-gluon plasma (QGP). We start with an introduction to the AdS/CFT correspondence and the setup we use subsequently. We then investigate the effects of finite temperature and particle density on fundamental matter from three different viewpoints. (i) We study meson spectra. Our observations at finite temperature and particle density are in qualitative agreement with phenomenological models and experimental observations. They agree with previous publications in the according limits. (ii) We study the temperature and density dependence of transport properties of fundamental matter in the QGP. In particular, we obtain diffusion coefficients. Furthermore, in a kinetic model we estimate the effects of the coupling strength on meson diffusion and therewith equilibration processes in the QGP. (iii) We observe the effects of finite temperature and density on the phase structure of fundamental matter in the holographic QGP. We trace out the phase transition lines of different phases in the phase diagram.