A Scattering Amplitude for Massive Particles in AdS

Abstract

In this paper, we propose a conformally covariant momentum space representation of CFT correlation functions. We call it the AdS S-matrix. This representation has the property that it reduces to the S-matrix in the flat space limit. The flat space limit in question is taken by keeping all the particle masses fixed as the operator conformal dimensions go to infinity along with the AdS radius $\mathtt{R}$. We give Feynman-like rules to compute the AdS S-matrix in $1/\mathtt{R}$ perturbation theory. Moreover, we relate it to the Mellin space representation of the conformal correlators in $1/\mathtt{R}$ perturbation theory.

42 pages, 5 figures, version 2, minor changes have been made

References in corpus (8)

• New Relations for Gauge-Theory Amplitudes
• Holography from Conformal Field Theory
• Writing CFT correlation functions as AdS scattering amplitudes
• Mellin amplitudes for $Ad{S}_5\times S^5$
• Local bulk S-matrix elements and CFT singularities
• Loop Corrections to Supergravity on $Ad{S}_5\times S^5$
• Color/Kinematics Duality in AdS${}_4$
• String scattering in flat space and a scaling limit of Yang-Mills correlators

Cited by in corpus (1)

• AdS correction to the Faddeev-Kulish state: Migrating from the Flat Peninsula