Mi. Polikarpov et al., STRING REPRESENTATION OF ABELIAN HIGGS THEORY AND AHARONOV-BOHM EFFECT ON THE LATTICE, Physics letters. Section B, 309(1-2), 1993, pp. 133-138
The partition function of the 4D lattice Abelian Higgs theory is repre
sented as the sum over world sheets of Nielsen-Olesen strings. The cre
ation and annihilation operators of the strings are constructed. The t
opological long-range interaction of the strings and charged particles
is shown to exist; it is proportional to the linking number of the st
ring world sheet and particle world trajectory.