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

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.

preprint1993arXivOpen access
M. I. PolikarpovU. -J. WieseM. A. Zubkov
hep-lathep-th
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M. I. PolikarpovU. -J. WieseM. A. Zubkov

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