Applications of light-cone superspace in quantum field theory

Abstract

In this thesis we focus on supersymmetric quantum field theories. In particular we study the maximally supersymmetric N=4 super Yang-Mills theory in light-cone superspace. We present two applications of light-cone superspace formalism: 1) we derive a new Lagrangian for N=4 super Yang-Mills, where the scattering amplitudes are manifest, and 2) we initiate a new formalism for computing correlation functions of gauge invariant operators.