Holography and Brownian motion [HBNI Th135]

Abstract

This thesis deals with Brownian motion of a charged particle in holographic framework. In the holographic context, dual field theories are usually studied in long wavelength or hydrodynamic limit which is macroscopic effective description obtained by coarse-graining the more fundamental underlying microscopic physics. Holographic Brownian dynamics is a simple set-up to incorporate fluctuations in AdS/CFT correspondence. The central focus of this thesis is the novel feature of dissipation at zero temperature in this context of holographic Brownian motion. The phenomenon has its origin in radiation reaction of accelerating charged particle. Langevin dynamics has been explored in diverse spacetime dimensions and the coefficient of zero-temperature dissipation has been shown to have a jump in its value at zero temperature. Brownian motion is also studied in presence of finite matter density at zero and small temperature. All these have been explored using analytic techniques.