Brownian motion in strongly coupled, anisotropic Yang-Mills plasma: A holographic approach

Abstract

We employ methods of gauge/string duality to analyze the Brownian motion and the concomitant Langevin equation of a heavy quark in a strongly coupled, thermal, anisotropic Yang-Mills plasma. We consider fluctuations both along and perpendicular to the direction of anisotropy and study the effects of anisotropy on the drag coefficient, the diffusion constant and the Langevin coefficient for both the directions. We also verify the fluctuation-dissipation theorem for Brownian motion in an anisotropic medium.

arXiv commentlatex file, 34 pages; v2: minor revisions, version published in Phys. Rev. D

References in corpus (53)

• Gauge Theory Correlators from Non-Critical String Theory
• The Large N Limit of Superconformal Field Theories and Supergravity
• Large N Field Theories, String Theory and Gravity
• Experimental and Theoretical Challenges in the Search for the Quark Gluon Plasma: The STAR Collaboration's Critical Assessment of the Evidence from RHIC Collisions
• Formation of dense partonic matter in relativistic nucleus-nucleus collisions at RHIC: Experimental evaluation by the PHENIX collaboration
• The PHOBOS Perspective on Discoveries at RHIC
• Shear viscosity of strongly coupled N=4 supersymmetric Yang-Mills plasma
• Energy loss of a heavy quark moving through N=4 supersymmetric Yang-Mills plasma
• The Effect of Shear Viscosity on Spectra, Elliptic Flow, and HBT Radii
• Drag force in AdS/CFT
• Holography and hydrodynamics: diffusion on stretched horizons
• Bulk vs. Boundary Dynamics in Anti-de Sitter Spacetime
• Universality of the hydrodynamic limit in AdS/CFT and the membrane paradigm
• Heavy Quark Diffusion in Strongly Coupled $\mathbb{N}=4$ Yang Mills
• Momentum fluctuations of heavy quarks in the gauge-string duality
• Transverse Momentum Broadening of a Fast Quark in a $\mathbb{N}=4$ Yang Mills Plasma
• Thermodynamics and Instabilities of a Strongly Coupled Anisotropic Plasma
• The anisotropic N=4 super Yang-Mills plasma and its instabilities
• On String Theory Duals of Lifshitz-like Fixed Points
• A holographic view on physics out of equilibrium
• Probing strongly coupled anisotropic plasma
• Thermal Noise and Stochastic Strings in AdS/CFT
• Drag Force in a Charged N=4 SYM Plasma
• Brownian motion in AdS/CFT
• Drag force in SYM plasma with B field from AdS/CFT
• Drag force in a strongly coupled anisotropic plasma
• Black Hole Evaporation along Macroscopic Strings
• Hawking Radiation and Non-equilibrium Quantum Critical Current Noise
• Langevin diffusion of heavy quarks in non-conformal holographic backgrounds
• Stochastic trailing string and Langevin dynamics from AdS/CFT
• Universal Properties of the Langevin Diffusion Coefficients
• Drag Force of Moving Quark in STU Background
• Heavy Quark Diffusion in Strongly Coupled Anisotropic Plasmas
• Quantum Fluctuations in Holographic Theories with Hyperscaling Violation
• Jet quenching in a strongly coupled anisotropic plasma
• Quarkonium dissociation by anisotropy
• Holographic Brownian Motion and Time Scales in Strongly Coupled Plasmas
• Dissipative force on an external quark in heavy quark cloud
• Fluctuation and Dissipation at a Quantum Critical Point
• Some aspects of QGP phase in a hQCD model
• Steady-state Physics, Effective Temperature Dynamics in Holography
• Holographic Brownian Motion in 1+1 Dimensions
• Holographic quark-antiquark potential in hot, anisotropic Yang-Mills plasma
• Drag force at finite 't Hooft coupling from AdS/CFT
• Proof of universality of electrical conductivity at finite chemical potential
• Holographic Brownian Motion in Magnetic Environments
• Holography and drag force in thermal plasma of non-commutative Yang-Mills theories in diverse dimensions
• Drag force in a hot non-relativistic, non-commutative Yang-Mills plasma
• Spinning Dragging Strings
• Holographic Brownian Motion in Two Dimensional Rotating Fluid
• Holograghic Brownian motion in three dimensional Gödel black hole
• Wilson loops in noncommutative Yang-Mills theory using gauge/gravity duality
• Effective Mass of Holographic Brownian Particle in Rotating Plasma

Cited by in corpus (16)

• Momentum transport in strongly coupled anisotropic plasmas in the presence of strong magnetic fields
• Hot QCD Phase Diagram From Holographic Einstein-Maxwell-Dilaton Models
• Heavy Quark Diffusion in Strongly Coupled Anisotropic Plasmas
• Fluctuation and dissipation in de Sitter space
• Pole skipping and chaos in anisotropic plasma: a holographic study
• More on thermal probes of a strongly coupled anisotropic plasma
• Probing strongly coupled anisotropic plasmas from higher curvature gravity
• Holographic Brownian motion at finite density
• Fluctuation and Dissipation from a Deformed String/Gauge Duality Model
• Holographic influence functional and its application to decoherence induced by quantum critical theories
• A path integral approach to the Langevin equation
• Fermionic and bosonic fluctuation-dissipation theorem from a deformed AdS holographic model at finite temperature and chemical potential
• Subvacuum effects in Quantum Critical Theories from Holographic Approach
• Effects of hyperscaling violation and dynamical exponents on drag force
• Back reaction effects on the dynamics of heavy probes in heavy quark cloud
• Holographic Schwinger Effect in Anisotropic Media