Aharonov-Bohm Effect in Lattice Abelian Higgs Theory

Details Aharonov-Bohm Effect in Lattice Abelian Higgs Theory Aharonov-Bohm Effect in Lattice Abelian Higgs Theory

1997-04-30

arxiv.org/abs/hep-lat/9704021v2

Phys.Lett.B416:379-384,1998

Physics

High Energy Physics

High Energy Physics - Lattice

9 pages, LaTeX, 1 figure, uses epsf.sty; misprints are corrected, discussion on numerical results is extended, to appear in Ph

Scientific paper

10.1016/S0370-2693(97)01354-3

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.

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