Nonrelativistic Chern-Simons Vortices on the Torus
High Energy Physics - Theory
2011-08-24 v2 Mathematical Physics
math.MP
Number Theory
Abstract
A classification of all periodic self-dual static vortex solutions of the Jackiw-Pi model is given. Physically acceptable solutions of the Liouville equation are related to a class of functions which we term Omega-quasi-elliptic. This class includes, in particular, the elliptic functions and also contains a function previously investigated by Olesen. Some examples of solutions are studied numerically and we point out a peculiar phenomenon of lost vortex charge in the limit where the period lengths tend to infinity, that is, in the planar limit.
Keywords
Cite
@article{arxiv.0912.0718,
title = {Nonrelativistic Chern-Simons Vortices on the Torus},
author = {Nikolas Akerblom and Gunther Cornelissen and Gerben Stavenga and Jan-Willem van Holten},
journal= {arXiv preprint arXiv:0912.0718},
year = {2011}
}
Comments
25 pages, 2+3 figures; improved exposition, corrected typos, added one reference