Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-12-03
J.Math.Phys.52:072901,2011
Physics
High Energy Physics
High Energy Physics - Theory
25 pages, 2+3 figures; improved exposition, corrected typos, added one reference
Scientific paper
10.1063/1.3610643
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.
Akerblom Nikolas
Cornelissen Gunther
Stavenga Gerben
van Holten Jan-Willem
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