I know that there are nonabelian gauge theories and their supersymmetric extensions. Mathematically, gauge theories basing on the fact that one can introduce a fiber bundle with a Connection. From this the curvature (field strength) can be computed.

But what is when one has a non-smooth fiber bundle over the base manifold (minkowski spacetime) or some Special Kind of the gauge-groups? Are there existing generalizations for non-smooth gauge Groups(in physics, stochastic noise is sometimes regarded as non-smooth but the average of this noise function is smooth)?

This post imported from StackExchange Physics at 2015-02-10 13:50 (UTC), posted by SE-user kryomaxim