Perturbative Four-Point Functions from the Analytic Conformal Bootstrap

Understand

We apply the analytic conformal bootstrap method to study weakly coupled conformal gauge theories in four dimensions.

• We employ twist conformal blocks to find the most general form of the one-loop four-point correlation function of identical scalar operators, without any reference to Feynman calculations.
• The method relies only on symmetries of the model.
• In particular, it does not require introducing any regularisation and it is free from the redundancies usually associated with the Feynman approach.