Institute for Advanced Study
Analytic S-matrix from CFT Correlators
I will present an ongoing work with Paulos, van Rees and Zhao on a new approach to analyze non-perturbative properties of the S-matrix in quantum field theories. The basic strategy is to put a quantum field theory in Anti-de-Sitter space, analyze the correlators on the boundary,and take the flat space limit in the end. As was discussed by Callan and Wilczek, the AdS space acts as a symmetry-preserving IR regulator and allows us to constrain the boundary correlators by the AdS isometries (which coincide with the conformal group in d-1 dimensions). I will explain when such procedures work and discuss what can be said from this approach.