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Nonlinear waves in AdS/CFT correspondence

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arxiv hep-th/0305196 v1 pith:SM5CL57O submitted 2003-05-22 hep-th math.DG

Andrei Mikhailov This is my paper · ORCID
classification hep-thmath.DG
keywords energychargecorrespondencefindnonlinearacceleratedcalculatecarried
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abstract

We calculate in the strong coupling and large N limit the energy emitted by an accelerated external charge in ${\cal N}=4$ SU(N) Yang-Mills theory, using the AdS/CFT correspondence. We find that the energy is a local functional of the trajectory of the charge. It coincides up to an overall factor with the Lienard formula of the classical electrodynamics. In the AdS description the radiated energy is carried by a nonlinear wave on the string worldsheet for which we find an exact solution.

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Cited by 3 Pith papers

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    hep-th 2025-01 accept novelty 7.0 of 10

    All rotation-invariant superconformal defects satisfy CD/aT = -2(n-1)(p+2)Γ(p+1)/(n π^{p-n/2} Γ(p/2+1)Γ((n-p)/2)), proved from supersymmetric Ward identities.

  2. Stochastic Dynamics of Heavy Quarks in Strongly Coupled Plasma

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    Kolmogorov dynamics for heavy quarks in hot plasma shows significantly delayed large-momentum equilibration compared to Fokker-Planck with matched drag, due to rare low-momentum-loss events.

  3. Energy loss and theoretical uncertainties in small quark-gluon plasmas

    hep-ph 2025-06 conditional novelty 6.0 of 10

    A pQCD energy loss model with short-pathlength corrections shows the large formation time approximation fails self-consistently and, after a one-parameter fit, describes RHIC small systems while failing LHC small systems.

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