Holographic studies of thermalization and dissipation in strongly coupled theories

dc.contributor.advisorFischler, Willy
dc.creatorTangarife García, Walter Orlandoen
dc.date.accessioned2014-09-18T16:06:44Zen
dc.date.accessioned2018-01-22T22:26:30Z
dc.date.available2018-01-22T22:26:30Z
dc.date.issued2014-08en
dc.date.submittedAugust 2014en
dc.date.updated2014-09-18T16:06:44Zen
dc.descriptiontexten
dc.description.abstractThis 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.en
dc.description.departmentPhysicsen
dc.format.mimetypeapplication/pdfen
dc.identifier.urihttp://hdl.handle.net/2152/25981en
dc.subjectAdS/CFT correspondenceen
dc.subjectHolographic thermalizationen
dc.subjectEntanglement entropyen
dc.titleHolographic studies of thermalization and dissipation in strongly coupled theoriesen
dc.typeThesisen

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