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

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.

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

References in corpus (2)

• Quantum Field Theory of Nonabelian Strings and Vortices
• Cosmic Strings on the Lattice

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