Implications of conformal invariance in momentum space

Understand

We present a comprehensive analysis of the implications of conformal invariance for 3-point functions of the stress-energy tensor, conserved currents and scalar operators in general dimension and in momentum space.

• Our starting point is a novel and very effective decomposition of tensor correlators which reduces their computation to that of a number of scalar form factors.
• For example, the most general 3-point function of a conserved and traceless stress-energy tensor is determined by only five form factors.
• Dilatations and special conformal Ward identities then impose additional conditions on these form factors.