%0 Journal Article
%T String Representation of the Abelian Higgs Theory and Aharonov-Bohm Effect on the Lattice
%A M. I. Polikarpov
%A U. -J. Wiese
%A M. A. Zubkov
%J Physics
%D 1993
%I arXiv
%R 10.1016/0370-2693(93)91516-P
%X The partition function of the $4D$ lattice Abelian Higgs theory is represented as the sum over world sheets of Nielsen--Olesen strings. The creation and annihilation operators of the strings are constructed. The topological long--range interaction of the strings and charged particles is shown to exist; it is proportional to the linking number of the string world sheet and particle world trajectory.
%U http://arxiv.org/abs/hep-lat/9303007v2