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Lectures on scattering amplitudes via AdS/CFT. (English) Zbl 1154.81359

Edelstein, JosĂ© D. (ed.) et al., Ten years of AdS/CFT, Buenos Aires, Argentina, 19–21 December 2007. Selected papers based on the presentations at the international conference. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0555-4/hbk). AIP Conference Proceedings 1031, 43-60 (2008).
Summary: We review recent progress on computing scattering amplitudes of planar \({\mathcal N}=4\) super Yang-Mills at strong coupling by using the AdS/CFT duality. We do explicit computations by using both, dimensional regularization and a cut-off in the radial direction. Up to an additive constant independent on the kinematics, the finite piece of the amplitude is the same in both regularizations. The latter scheme is particularly appropriate for understanding the conformal properties of the amplitudes.
For the entire collection see [Zbl 1146.81008].

MSC:

81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
81U05 \(2\)-body potential quantum scattering theory
81T60 Supersymmetric field theories in quantum mechanics
81T13 Yang-Mills and other gauge theories in quantum field theory
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