String Representation of the Abelian Higgs Theory and Aharonov-Bohm Effect on the Lattice
M. I. Polikarpov, U. -J. Wiese, M. A. Zubkov
Abstract
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.
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