Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 9, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP09(2022)157
Keywords
AdS-CFT Correspondence; Scattering Amplitudes
Categories
Funding
- Infosys
- SERB Ramanujan fellowship
- Department of Atomic Energy, Government of India [RTI 4002]
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In this paper, we propose a conformally covariant momentum space representation called the AdS S-matrix for CFT correlation functions. It reduces to the S-matrix in the flat space limit. We provide Feynman-like rules to compute the AdS S-matrix in 1/R perturbation theory and relate it to the Mellin space representation of the conformal correlators in 1/R perturbation theory.
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.
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