High Energy Theory Seminar

Position space analysis provides strong constraints on the form of correlation functions in conformal field theories. In the talk I will concentrate on the analysis carried out in momentum space. I will present a novel approach, which allows to solve conformal Ward identities directly in momentum space. In particular (almost) elementary expressions for 3-point functions involving stress energy tensor, conserved currents and various scalar operators can be derived, with potential applications in cosmology or condensed matter physics. Finally, I will discuss renormalization issues and the emergence of associated (new) anomalies as well as their relation to AdS/CFT.