Aharonov--Bohm Effect in 3D Abelian Higgs Theory

We study a field–theoretical analogue of the Aharonov–Bohm effect in the 3D Abelian Higgs Model: the corresponding topological interaction is proportional to the linking number of the vortex and the particle world trajectories. We show that the Aharonov–Bohm effect gives rise to a nontrivial interaction of tested charged particles.