Stochastic String Motion Above and Below the World Sheet Horizon

Abstract

We study the stochastic motion of a relativistic trailing string in black hole AdS_5. The classical string solution develops a world-sheet horizon and we determine the associated Hawking radiation spectrum. The emitted radiation causes fluctuations on the string both above and below the world-sheet horizon. In contrast to standard black hole physics, the fluctuations below the horizon are causally connected with the boundary of AdS. We derive a bulk stochastic equation of motion for the dual string and use the AdS/CFT correspondence to determine the evolution a fast heavy quark in the strongly coupled $\mathbb{N}=4$ plasma. We find that the kinetic mass of the quark decreases by $\Delta M=-\sqrt{\gamma \lambda }T/2$ while the correlation time of world sheet fluctuations increases by $\sqrt{\gamma }$.

27 pages, 5 figures; v2 final version, small changes, references added

References in corpus (12)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Energy loss of a heavy quark moving through N=4 supersymmetric Yang-Mills plasma
• Drag force in AdS/CFT
• Schwinger-Keldysh Propagators from AdS/CFT Correspondence
• Heavy Quark Diffusion in Strongly Coupled $\mathbb{N}=4$ Yang Mills
• Nearly Perfect Fluidity: From Cold Atomic Gases to Hot Quark Gluon Plasmas
• Momentum fluctuations of heavy quarks in the gauge-string duality
• The wake of a quark moving through a strongly-coupled $\mathcal{N}=4$ supersymmetric Yang-Mills plasma
• Thermal Noise and Stochastic Strings in AdS/CFT
• The stress tensor of a quark moving through N=4 thermal plasma
• Comparing energy loss and $p_{\perp }$-broadening in perturbative QCD with strong coupling $\mathcal{N}=4$ SYM theory
• Stochastic trailing string and Langevin dynamics from AdS/CFT

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• Holographic Lessons for Quark Dynamics
• Holographic Brownian Motion and Time Scales in Strongly Coupled Plasmas
• Fluctuation and dissipation in de Sitter space
• Accelerated detectors and worldsheet horizons in AdS/CFT
• Holographic Brownian Motion in Magnetic Environments
• Schwinger-Keldysh effective action for relativistic Brownian particle in AdS-CFT
• Time evolution of entanglement entropy of moving mirrors influenced by strongly coupled quantum critical fields
• Holographic Approach to Nonequilibrium Dynamics of Moving Mirrors Coupled to Quantum Critical Theories
• Holographic influence functional and its application to decoherence induced by quantum critical theories
• A Holographic Description of Negative Energy States
• Dynamics of Heavy Quarks in Strongly Coupled $\mathcal{N}=4$ SYM Plasma
• Effective Thermal Physics in Holography: A Brief Review
• Subvacuum effects in Quantum Critical Theories from Holographic Approach
• Correlation functions for open strings and chaos
• Environment-induced uncertainties on moving mirrors in quantum critical theories via holography
• Universal Equilibration Condition for Heavy Quarks
• Relativistic Langevin Equation derived from a particle-bath Lagrangian