Aharonov–Bohm effect in lattice Abelian Higgs theory

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 eff...

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Published inPhysics letters. B Vol. 416; no. 3; pp. 379 - 384
Main Authors Chernodub, M.N., Gubarev, F.V., Polikarpov, M.I.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.01.1998
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Summary: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.
ISSN:0370-2693
1873-2445
DOI:10.1016/S0370-2693(97)01354-3