Nonlinear waves in AdS/CFT correspondence

2003/05/22 by Andrei Mikhailov, Mikhailov, Andrei · 2 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Nonlinear Waves and Solitons #hep-th #math.DG

paper · pdf · doi:10.48550/arxiv.hep-th/0305196

15 pages, Latex, 9 Postscript figures

arxiv created 2003/05/22 · openalex publication_date 2003/05/22 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Classical Electrodynamics

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