String representation of Abelian Higgs theory and Aharonov-Bohm effect on the lattice

  title={String representation of Abelian Higgs theory and Aharonov-Bohm effect on the lattice},
  author={M.I.Polikarpov and U. Wiese and Mikhail A. Zubkov},
  journal={Physics Letters B},
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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