English

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

High Energy Physics - Lattice 2007-05-23 v1

Abstract

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.

Keywords

Cite

@article{arxiv.hep-lat/9607045,
  title  = {Analytical and Numerical Study of the Aharonov--Bohm Effect in 3D and 4D Abelian Higgs Model},
  author = {M. N. Chernodub and F. V. Gubarev and M. I. Polikarpov},
  journal= {arXiv preprint arXiv:hep-lat/9607045},
  year   = {2007}
}

Comments

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