arXiv:hep-lat/9804002·v1·High Energy Physics — Lattice
Strings and Aharonov-Bohm Effect in Abelian Higgs Model
M.N. Chernodub🇷🇺 · M.I. Polikarpov🇷🇺 · A.I. Veselov🇷🇺 · M.A. Zubkov🇷🇺
Abstract
We investigate numerically the properties of the Abrikosov-Nielsen-Olesen strings in 4D abelian Higgs model. The fractal dimension D_f of the vortex strings was found to be large in the Coulomb phase and it is close to 2 in the Higgs phase. We also show that the Wilson loop for non-integer charges is correlated with the linking number of the vortex string world sheets and the test particle world trajectory. We find that this topological (Aharonov-Bohm) interaction gives the main contribution to the Wilson loop quantum average for non-integer test charges in the vicinity of the Coulomb-Higgs phase transition.
Comments: 8 pages, LaTeX, 5 EPS-figures, uses epsf.sty