Exact momentum fluctuations of an accelerated quark in N=4 super Yang-Mills

Abstract

In this work we consider a heavy quark moving with constant proper acceleration in the vacuum of any four dimensional conformal field theory. We argue that the two-point function of its momentum fluctuations is exactly captured by the Bremsstrahlung function that gives the total radiated power. For the particular case of N=4 SU(N) SYM this function is exactly known, so in this case we obtain an explicit expression for the momentum diffusion coefficient, and check that various limits of this result are reproduced by probe computations in AdS_5. Finally, we evaluate this transport coefficient for a heavy quark accelerated in the vacuum of N=4 SU(3) SYM, and comment on possible lessons of our results for the study of heavy quarks traversing the super Yang-Mills plasma.

22+1 pages ; 2 figures. v2: added references

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• Exact results for Wilson loops in arbitrary representations
• Analytic Solution of Bremsstrahlung TBA II: Turning on the Sphere Angle
• Correlators on non-supersymmetric Wilson line in N=4 SYM and AdS${}_2$/CFT${}_1$
• Probing N=2 superconformal field theories with localization
• Exact Correlators on the Wilson Loop in $\mathcal{N}=4$ SYM: Localization, Defect CFT, and Integrability
• Exact probes of orientifolds
• Radiation and a dynamical UV/IR connection in AdS/CFT
• The planar limit of $\mathcal{N}=2$ superconformal field theories
• Wilson loops in terms of color invariants
• Branes from Light: Embeddings and Energetics for Symmetric $k$-Quarks in $\mathcal{N}=4$ SYM
• Cusped Wilson lines in symmetric representations
• Quantum fluctuations and thermal dissipation in higher derivative gravity
• Zero Temperature Dissipation and Holography
• Ladder exponentiation for generic large symmetric representation Wilson loops
• BPS Wilson Loop T-dual to Spinning String in AdS5xS5