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 t...

Full description

Bibliographic Details
Main Authors: Abhijit Gadde, Trakshu Sharma
Format: Article
Language:English
Published: SpringerOpen 2022-09-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP09(2022)157
Description
Summary: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 R. We give Feynman-like rules to compute the AdS S-matrix in 1/R perturbation theory. Moreover, we relate it to the Mellin space representation of the conformal correlators in 1/R perturbation theory.
ISSN:1029-8479