Self-Dual Yang-Mills Theory, Integrability and Multiparton Amplitudes

A detailed understanding of multiparton amplitudes is crucial to the application of perturbative quantum chromodynamics to a wide variety of processes at high energy colliders. Considerable progress has been achieved in developing this understanding using a wide variety of methods. In this talk, I will review some applications of these methods and show how self-dual Yang-Mills theory may be used to develop an alternative understanding of these results and may provide an avenue for future analysis.