Space-time S-matrix and Flux-tube S-matrix at Finite Coupling
Perimeter Institute for Theoretical Physics, Waterloo, Canada
Fri, Mar. 22nd 2013, 14:15
Salle Claude Itzykson, Bât. 774, Orme des Merisiers
We propose a non-perturbative formulation of planar scattering amplitudes in N = 4 SYM or, equivalently, polygonal Wilson loops. The construction is based on the OPE approach and introduces a new decomposition of the Wilson loop in terms of fundamental building blocks named Pentagon transitions. These transitions satisfy a simple relation to the worldsheet S-matrix on top of the so called Gubser-Klebanov-Polyakov vacuum which allows us to bootstrap them at any value of the coupling. In this paper we present a subsector of the full solution to scattering amplitudes which we call the gluonic part. We match our results with both weak and strong coupling data available in the literature. For example, the strong coupling Y-system can be understood in this approach.