  We study a field-theoretical analogue of the Aharonov-Bohm effect in two-,
three- and four-dimensional Abelian Higgs models; the corresponding topological
interaction is proportional to the linking number of the Abrikosov vortex and
the particle world trajectories. We show that the Aharonov-Bohm effect gives
rise to a nontrivial interaction of charged test particles. The numerical
calculations in the three-dimensional model confirm this fact.
