On the Eikonal Approximation in AdS Space

Abstract

We explore the eikonal approximation to graviton exchange in AdS_5 space, as relevant to scattering in gauge theories. We restrict ourselves to the regime where conformal invariance of the dual gauge theory holds, and to large 't Hooft coupling where the computation involves pure gravity. We give a heuristic argument, a direct loop computation, and a shock wave derivation. The scalar propagator in AdS_3 plays a key role, indicating that even at strong coupling, two-dimensional conformal invariance controls high-energy four-dimensional gauge-theory scattering.

22 pages, 2 figures; published version: updated references and several clarifying remarks added

References in corpus (7)

• Gluon scattering amplitudes at strong coupling
• The Pomeron and Gauge/String Duality
• Eikonal Approximation in AdS/CFT: Resumming the Gravitational Loop Expansion
• Eikonal Approximation in AdS/CFT: Conformal Partial Waves and Finite N Four-Point Functions
• Eikonal Approximation in AdS/CFT: From Shock Waves to Four-Point Functions
• On The Pomeron at Large 't Hooft Coupling
• Gravitational effects in ultrahigh-energy string scattering

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