Abstract
The authors consider the motion of free relativistic particles in multiply connected spaces. They show that if one of the spatial dimensions has the topology of a circle then the D-dimensional spacetime is compactified to D-1 dimensions and the particle mass increases by an amount which is proportional to a quantum phase factor and inversely proportional to the radius of the circle. This provides a new non-perturbative mechanism of mass generation. They also consider the relativistic Aharonov-Bohm effect and they show that the propagator is similar in form to the non-relativistic one. The propagators are calculated without any approximation in both situations.
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