From Global Symmetry to Gauge Invariance Through Iterative N\"other Coupling.

We consider scalar, spinor and vector matter fields transforming under arbitrary representations of a non-Abelian, compact, semisimple internal Lie group which is a physical, global symmetry of their actions. These matter fields are coupled to Abelian gauge fields through the process of {\it iterative N\"other coupling}. This procedure is shown to yield precisely the same locally gauge invariant theory (with the non-Abelian group as the gauge group) as obtained by the usual `minimal coupling' prescription originating from the {\it Gauge Principle} on which standard formulations of non-Abelian gauge field theories are founded. Prospects of this more physical alternative to gauge theories, towards better understanding of physical aspects of these theories, are briefly discussed.