Browsing by Subject "AdS/CFT correspondence"
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Item Dynamics of asymptotically AdS spaces and holography(2015-08) Pedraza Avella, Juan Felipe; Fischler, Willy; Distler, Jacques; Kilic, Can; Neitzke, Andrew; Paban, SoniaThis thesis presents a series of studies on the evolution and out-of-equilibrium dynamics of strongly coupled quantum field theories by means of the AdS/CFT correspondence. We use a handful of analytic and semi-analytic techniques to investigate the response of the system due to different types of perturbations, some of them leading to thermalization, cooling down or coherent oscillations of the quantum fields. We characterize the processes by studying the evolution of non-local observables such as two-point functions, Wilson loops and entanglement entropy. Our results may be relevant to heavy-ion collision and condensed matter physics experiments.Item Holographic studies of thermalization and dissipation in strongly coupled theories(2014-08) Tangarife García, Walter Orlando; Fischler, WillyThis thesis presents a series of studies of thermalization and dissipation in a variety of strongly coupled systems. The main tool for these investigations is the Gauge/Gravity duality, which establishes a correspondence between a d+1-dimensional quantum theory of gravity and a d-dimensional quantum field theory. We study the decay rates of fluctuations around the thermal equilibrium in theories in non-commutative geometry. Rapid thermalization of such fluctuations is found and motivates the conjecture that the phenomena at the black hole horizon is described by non-local physics. In the same type of environment, we analyze the Langevin dynamics of a heavy quark, which undergoes Brownian motion. We find that the late-time behavior of the displacement squared is unaffected by the non-commutativity of the geometry. In a different scenario, we study the correlation functions in theories with quantum critical points. We compute the response of these quantum critical points to a disturbance caused by a massive charged particle and analyze its late time behavior. Finally, we analyze systems far-from-equilibrium as they evolve towards a thermal state. We characterize this evolution for systems with chemical potential by focusing on the ``strong subadditivity" property of their entanglement entropy. This is achieved on the gravity side by using time dependent functions for mass and charge in an AdS-Vaydia metric.