Holograghic Brownian motion in three dimensional Gödel black hole

Abstract

By using the AdS/CFT correspondence and Gödel black hole background, we study the dynamics of heavy quark under a rotating plasma. In that case we follow Atmaja (JHEP 1304, 021, (2013)) about Brownian motion in BTZ black hole. In this paper we receive some new results for the case of ${\alpha }^2{l}^2\ne 1$. This case, we must redefine the angular velocity of string fluctuation. We obtain the time evolution of displacement square that angular velocity and show that it behaves as a Brownian particle in non-relativistic limit. In this plasma, it seems that relating the Brownian motion with physical observables is rather a difficult work. But our results match with Atmaja work in the limit ${\alpha }^2{l}^2\to 1$.

16 pages

References in corpus (5)

• Energy loss of a heavy quark moving through N=4 supersymmetric Yang-Mills plasma
• Drag force in AdS/CFT
• Quantum Fluctuations in Holographic Theories with Hyperscaling Violation
• Holographic Brownian Motion in Magnetic Environments
• Holographic description of three dimensional Godel black hole

Cited by in corpus (6)

• Fluctuation and dissipation in de Sitter space
• Brownian motion in strongly coupled, anisotropic Yang-Mills plasma: A holographic approach
• Strong Gravitational Lensing in a Brane-World Black Hole
• Langevin diffusion in holographic backgrounds with hyperscaling violation
• Probing Quarkonium Diffusion in a Magnetized Quark-Gluon Plasma
• Strongly Coupled Heavy and Light Quark Thermal Motion from AdS/CFT