Types of quantum field thories
See relativistic particle for details.
If one models the electromagnetic field via the Kaluza-Klein mechanism as a field of gravity on a fiber bundle, then trajectories of charged particles subject to the Lorentz force in the base space of that bundle are euivalently just geodesics on the total space, e.g. (Bleecker 81). An exposition of this fact is in (Bartlett 13).
The generalization to the spinning particle is discussed for instance in
Discussion of Lorentz force from the point of view of the Kaluza-Klein mechanism is in
and exposition is in