Exact Results in Gauge Theories

Abstract

This thesis is devoted to the study of observables in the four dimensional superconformal N = 4 Yang-Mills theory. We will be focused on the problem of computing higher point correlation functions, scattering amplitudes and Wilson loops. Integrability is the main actor in this context and will allow us to obtain answers that would be inconceivable without it. In the case of correlation function, we will study them in the weak and strong coupling limits separately where integrability possesses different incarnations. For the case of scattering amplitudes and Wilson loops, we provide a non-perturbative solution.