Strings and Aharonov-Bohm Effect in Abelian Higgs Model
High Energy Physics - Lattice
2010-05-27 v1 High Energy Physics - Phenomenology
High Energy Physics - Theory
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.
Keywords
Cite
@article{arxiv.hep-lat/9804002,
title = {Strings and Aharonov-Bohm Effect in Abelian Higgs Model},
author = {M. N. Chernodub and M. I. Polikarpov and A. I. Veselov and M. A. Zubkov},
journal= {arXiv preprint arXiv:hep-lat/9804002},
year = {2010}
}
Comments
8 pages, LaTeX, 5 EPS-figures, uses epsf.sty