On Feynman rules for Mellin amplitudes in AdS/CFT

Understand

The computation of CFT correlation functions via Witten diagrams in AdS space can be simplified via the Mellin transform.

• Recently a set of Feynman rules for tree-level Mellin space amplitudes has been proposed for scalar theories.
• In this note we derive these rules by explicitly evaluating all of the relevant Witten diagram integrals for the scalar phi^n theory.
• We also check that the rules reduce to the usual Feynman rules in the flat space limit.