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arXiv · hep-lat/9303007

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

M. I. Polikarpov·U. -J. Wiese·M. A. Zubkov
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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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M. I. Polikarpov, U. -J. Wiese, M. A. Zubkov. 1993-03-26. String Representation of the Abelian Higgs Theory and Aharonov-Bohm Effect on the Lattice. https://doi.org/10.1016/0370-2693(93)91516-p

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