Holographic Brownian motion at finite density

Abstract

Brownian motion of a heavy charged particle at zero and small (but finite) temperature is studied in presence of finite density. We are primarily interested in the dynamics at (near) zero temperature which is holographically described by motion of a fundamental string in an (near-) extremal Reissner-Nordstr$\ddot{\text{o}}$m black hole. We analytically compute the functional form of retarded Green's function for small frequencies and extract the dissipative behavior at and near zero temperature.

25 pages, 3 figures; Replaced with version to appear in PRD; Presentation improved, typos corrected and references added

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• Accelerated paths and Unruh effect I: scalars and fermions in Anti De Sitter spacetime
• Correlation functions for open strings and chaos
• Bosonic and Fermionic Holographic Fluctuation and Dissipation at finite temperature and density