Nonlinear waves in AdS/CFT correspondence

Details Nonlinear waves in AdS/CFT correspondence Nonlinear waves in AdS/CFT correspondence

2003-05-22

arxiv.org/abs/hep-th/0305196v1

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, Latex, 9 Postscript figures

Scientific paper

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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