Nonrelativistic Chern-Simons Vortices on the Torus

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.

25 pages, 2+3 figures; improved exposition, corrected typos, added one reference

References in corpus (3)

• Vortices in (abelian) Chern-Simons gauge theory
• Lectures on (abelian) Chern-Simons vortices
• The Role of Conformal Symmetry in the Jackiw-Pi Model

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