Two dimensional quantum chromodynamics as the limit of higher dimensional theories

We define pure gauge QCD on an infinite strip of width L. Techniques similar to those used in finite TQCD allow us to relate 3D-observables to pure QCD2 behaviors. The non triviality of the L → 0 limit is proven and the generalization to four dimensions described. The glueball spectrum of the theory in the small width limit is calculated and its evolution with L analyzed.