Stochastic trailing string and Langevin dynamics from AdS/CFT

Abstract

Using the gauge/string duality, we derive a set of Langevin equations describing the dynamics of a relativistic heavy quark moving with constant average speed through the strongly-coupled N=4 SYM plasma at finite temperature. We show that the stochasticity arises at the string world-sheet horizon, and thus is causally disconnected from the black hole horizon in the space-time metric. This hints at the non-thermal nature of the fluctuations, as further supported by the fact that the noise term and the drag force in the Langevin equations do not obey the Einstein relation. We propose a physical picture for the dynamics of the heavy quark in which dissipation and fluctuations are interpreted as medium-induced radiation and the associated quantum-mechanical fluctuations. This picture provides the right parametric estimates for the drag force and the (longitudinal and transverse) momentum broadening coefficients.

25 pages, 4 figures

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• Jet quenching in the strongly-interacting quark-gluon plasma
• Universal Properties of the Langevin Diffusion Coefficients
• Heavy Quark Diffusion in Strongly Coupled Anisotropic Plasmas
• Quantum Fluctuations and the Unruh Effect in Strongly-Coupled Conformal Field Theories
• Holographic Brownian Motion and Time Scales in Strongly Coupled Plasmas
• Fluctuation and dissipation in de Sitter space
• A Tail of a Quark in N=4 SYM
• Stochastic String Motion Above and Below the World Sheet Horizon
• Out of Equilibrium Temperature from Holography
• On meson melting in the quark medium
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• Unruh Effect and Holography
• A semi-holographic model for heavy-ion collisions
• Accelerated detectors and worldsheet horizons in AdS/CFT
• Holographic Brownian Motion in Magnetic Environments
• Heavy quarks in a magnetic field
• Rotating strings and energy loss in non-conformal holography
• Drag and jet quenching of heavy quarks in a strongly coupled N=2* plasma
• Probes on D3-D7 Quark-Gluon Plasmas
• Schwinger-Keldysh effective action for relativistic Brownian particle in AdS-CFT
• Pointlike probes of superstring-theoretic superfluids
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• Light-like mesons and deep inelastic scattering in finite-temperature AdS/CFT with flavor
• Time evolution of entanglement entropy of moving mirrors influenced by strongly coupled quantum critical fields
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• Holographic Approach to Nonequilibrium Dynamics of Moving Mirrors Coupled to Quantum Critical Theories
• String in AdS Black Hole: A Thermo Field Dynamic Approach
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• Fermionic Schwinger-Keldysh Propagators from AdS/CFT
• The confining trailing string
• Effective Mass of Holographic Brownian Particle in Rotating Plasma
• Dynamics of Heavy Quarks in Strongly Coupled $\mathcal{N}=4$ SYM Plasma
• A Holographic Description of Negative Energy States
• Parton branching and medium-induced radiation in a strongly coupled plasma
• Subvacuum effects in Quantum Critical Theories from Holographic Approach
• Environment-induced uncertainties on moving mirrors in quantum critical theories via holography
• Holographic drag force with translational symmetry breaking
• Relativistic Langevin Equation derived from a particle-bath Lagrangian
• Universal Equilibration Condition for Heavy Quarks
• Parton saturation at strong coupling from AdS/CFT