Aharonov-Bohm Effect in Lattice Abelian Higgs Theory
High Energy Physics - Lattice
2010-05-27 v2 Condensed Matter
High Energy Physics - Phenomenology
High Energy Physics - Theory
Abstract
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.
Keywords
Cite
@article{arxiv.hep-lat/9704021,
title = {Aharonov-Bohm Effect in Lattice Abelian Higgs Theory},
author = {M. N. Chernodub and F. V. Gubarev and M. I. Polikarpov},
journal= {arXiv preprint arXiv:hep-lat/9704021},
year = {2010}
}
Comments
9 pages, LaTeX, 1 figure, uses epsf.sty; misprints are corrected, discussion on numerical results is extended, to appear in Phys.Lett.B