  Teleparallel gravity can be seen as a gauge theory for the translation group.
As such, its fundamental field is neither the tetrad nor the metric, but a
gauge potential assuming values in the Lie algebra of the translation group.
This gauge character makes of teleparallel gravity, despite its equivalence to
general relativity, a rather peculiar theory. A first important point is that
it does not rely on the universality of free fall, and consequently does not
require the equivalence principle to describe the gravitational interaction.
Another peculiarity is its similarity with Maxwell's theory, which allows an
Abelian nonintegrable phase factor approach, and consequently a global
formulation for gravitation. Application of these concepts to the motion of
spinless particles, as well as to the COW and gravitational Aharonov-Bohm
effects are presented and discussed.
