In the first part of the talk, I will present a study of an interesting strongly coupled chiral quantum field theory. This theory has the same particle content as the simplest grand unified theory of the Standard Model. I will employ tools such as 't Hooft anomaly matching and softly broken supersymmetry to analyze the non-perturbative dynamics of the theory. In the second part, I will focus on supersymmetric QCD with one more flavour than colour and small soft SUSY breaking. I will show how the same techniques can be used, but also explore their limitations in extrapolation to large SUSY breaking.
