Radiation and a dynamical UV/IR connection in AdS/CFT

Abstract

We compute holographically the expectation value of the energy density sourced, in a strongly-coupled CFT, by a quark with large but finite mass (or equivalently, small but finite Compton radius) undergoing arbitrary motion. The resulting gluonic profile has two surprising features in the far region. First, besides the expected radiation, it contains a component that is attributable to the `intrinsic' or `near' field of the quark, and nevertheless falls off as the square of the distance. Second, even at distances much larger than the size of the quark, it differs from the profile set up by a pointlike quark. We explain how this second feature provides a useful case study for the UV/IR connection in a dynamical setting. We also examine some specific sample trajectories, including uniform circular motion and harmonic oscillation, where features such as the extent of the region with negative energy are found to vary with the quark mass.

52 pages, 7 figures. v2: bigger font, minor changes, added references. v3: minor additions, matches published version

References in corpus (12)

• Exact results for the entanglement entropy and the energy radiated by a quark
• The stress tensor of a quark moving through N=4 thermal plasma
• Extremal Surface Barriers
• On the exact solution of the accelerating string in $Ad{S}_5$ space
• Nonlinear waves in AdS/CFT correspondence
• Aspects of the UV/IR correspondence : energy broadening and string fluctuations
• Generalized Lorentz-Dirac Equation for a Strongly-Coupled Gauge Theory
• Holographic dual of collimated radiation
• Stress Tensor of Static Dipoles in strongly coupled $\mathcal{N}$=4 Gauge Theory
• Relativistic Beaming in AdS/CFT
• Radiation from an accelerated quark via AdS/CFT
• On radiation by a heavy quark in N = 4 SYM

Cited by in corpus (21)

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• Spread of entanglement for small subsystems in holographic CFTs
• Fluctuation and dissipation in de Sitter space
• Linear response of entanglement entropy from holography
• Evolution of nonlocal observables in an expanding boost-invariant plasma
• Chaos and entanglement spreading in a non-commutative gauge theory
• Local quenches, bulk entanglement entropy and a unitary Page curve
• Kasner interiors from analytic hairy black holes
• Branes from Light: Embeddings and Energetics for Symmetric $k$-Quarks in $\mathcal{N}=4$ SYM
• Holographic constraints on Bjorken hydrodynamics at finite coupling
• Holographic Coarse-Graining: Correlators from the Entanglement Wedge and Other Reduced Geometries
• Spiraling String in Gauss-Bonnet Geometry
• Emitted Radiation and Geometry
• Diving inside holographic metals
• Holographic energy loss in non-relativistic backgrounds
• Membrane nucleation rates from holography
• On scalar radiation
• Position dependence of the holographic entanglement entropy for an accelerating quark-antiquark pair