Gauge Symmetries and Fibre Bundles

A.P. Balachandran, G. Marmo, B.-S. Skagerstam, A. Stern3540127240, 9783540127246

A theory defined by an action which is invariant under a time dependent group of transformations can be called a gauge theory. Well known examples of such theories are those defined by the Maxwell and Yang-Mills Lagrangians. It is widely believed nowadays that the fundamental laws of physics have to be formulated in terms of gauge theories.