String representation of 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.
- Publication:
-
Physics Letters B
- Pub Date:
- July 1993
- DOI:
- 10.1016/0370-2693(93)91516-P
- arXiv:
- arXiv:hep-lat/9303007
- Bibcode:
- 1993PhLB..309..133P
- Keywords:
-
- High Energy Physics - Lattice;
- High Energy Physics - Theory
- E-Print:
- (This resubmitted paper includes two additional references), 10pages,LaTeX, ITEP-16-93