They can be analyzed using local symmetry.
One such popular description is that of the hidden local symmetry.
"Groupoids in combinatorics-applications of a theory of local symmetries".
General relativity has a local symmetry (general covariance, diffeomorphisms) which can be seen as generating the gravitational force.
One can associate the conserved charge with global, local, Abelian and non-Abelian symmetry.
The requirement of local symmetry, the cornerstone of gauge theories, is a stricter constraint.
In fact, a global symmetry is just a local symmetry whose group's parameters are fixed in space-time.
In gauge theory, the requirement of local symmetry can be used to deduce the equations describing a system.
The thing that "flows" in the current is the "charge", the charge is the generator of the (local) symmetry group.
Attempts have been made to promote isospin from a global to a local symmetry.
