Fluctuation and Dissipation from a Deformed String/Gauge Duality Model

Abstract

Using a Lorentz invariant deformed string/gauge duality model at finite temperature we calculate the thermal fluctuation and the corresponding linear response, verifying the fluctuation-dissipation theorem. The deformed AdS${}_5$ is constructed by the insertion of an exponential factor $\exp (k/r^2)$ in the metric. We also compute the string energy and the mean square displacement in order to investigate the ballistic and diffusive regimes. Furthermore we have studied the dissipation and the linear response in the zero temperature scenario.

Comments: V2: 32 pages, 3 Figs. Text improved, typos corrected, results unchanged. This version matches the published one in PRD