Abstract
We construct non-relativistic models of complex scalar bosons coupled to Chern–Simons gauge fields by using a Galilean covariant formulation based on the embedding of the (d, 1) Newtonian spacetime into a (d +1 , 1) Minkowski manifold with light-cone coordinates. We also examine various generalizations of the Carroll–Field–Jackiw three-dimensional Chern–Simons term for which the usual Lorentz covariance is broken. Models with cubic Chern–Simons term and non-Abelian gauge fields are briefly discussed. Our main result is the application of this covariant formalism to the investigation of the Aharonov– Bohm effect, for which we retrieve the invariant scattering amplitude up to one-loop.
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