On the Eikonal Approximation in AdS Space
Richard C. Brower (Boston U.), Matthew J. Strassler (U. Washington),, Chung-I Tan (Brown U.)
TL;DR
This paper investigates the eikonal approximation for graviton exchange in AdS_5 space, revealing how conformal invariance and strong coupling influence high-energy scattering in gauge theories.
Contribution
It provides a detailed analysis of the eikonal approximation in AdS space, including heuristic, loop, and shock wave methods, highlighting the role of AdS_3 propagators and conformal invariance.
Findings
Conformal invariance constrains high-energy scattering in AdS/CFT.
The scalar propagator in AdS_3 is crucial for understanding graviton exchange.
Strong coupling results align with two-dimensional conformal symmetry insights.
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.