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2019

Lorentzian CFT 3-point functions in momentum space

Bautista, Teresa, Godazgar, Hadi

Understand

In a conformal field theory, two and three-point functions of scalar operators and conserved currents are completely determined, up to constants, by conformal invariance.

The expressions for these correlators in Euclidean signature are long known in position space, and were fully worked out in recent years in momentum space.
In Lorentzian signature, the position-space correlators simply follow from the Euclidean ones by means of the i-epsilon prescription.
In this paper, we compute the Lorentzian correlators in momentum space and in arbitrary dimensions for three scalar operators by means of a formal Wick rotation.