ar X iv : h ep - l at / 9 70 40 21 v 2 1 2 N ov 1 99 7 KANAZAWA - 97 - 08 Aharonov – Bohm Effect in Lattice Abelian Higgs Theory

We study a field–theoretical analogue of the Aharonov–Bohm effect in two-, threeand 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.