String Representation of the Abelian Higgs Theory and Aharonov-Bohm Effect on the Lattice

Details String Representation of the Abelian Higgs Theory and Aharonov-Bohm Effect on the Lattice String Representation of the Abelian Higgs Theory and Aharonov-Bohm Effect on the Lattice

1993-03-11

arxiv.org/abs/hep-lat/9303007v2

Phys.Lett.B309:133-138,1993

Physics

High Energy Physics

High Energy Physics - Lattice

(This resubmitted paper includes two additional references), 10pages,LaTeX, ITEP-16-93

Scientific paper

10.1016/0370-2693(93)91516-P

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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