Analytical and Numerical Study of the Aharonov--Bohm Effect in 3D and 4D Abelian Higgs Model

Details Analytical and Numerical Study of the Aharonov--Bohm Effect in 3D and 4D Abelian Higgs Model Analytical and Numerical Study of the Aharonov--Bohm Effect in 3D and 4D Abelian Higgs Model

1996-07-20

arxiv.org/abs/hep-lat/9607045v1

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages, 1 figure, uses epsf.sty; talk given at the 9th International Seminar ``Quarks-96'', May 1996, Yaroslavl, Russia

Scientific paper

We discuss the Aharonov--Bohm effect in three and four dimensional
non--compact lattice Abelian Higgs model. We show analytically that this effect
leads to the long--range Coulomb interaction of the charged particles, which is
confining in three dimensions. The Aharonov--Bohm effect is found in numerical
calculations in 3D Abelian Higgs model.

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