Rigorous lower bound on the flux of the nontopological self-dual Chern-Simons vortices

Khare, Avinash (1991) Rigorous lower bound on the flux of the nontopological self-dual Chern-Simons vortices Physics Letters B, 263 (2). pp. 227-229. ISSN 0370-2693

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/037026...

Related URL: http://dx.doi.org/10.1016/0370-2693(91)90590-M

Abstract

I derive two sum rules for the nontopological self-dual Chern-Simons vortices obtained recently by Jackiw, Lee and Weinberg. Using these sum rules I rigorously show that these nontopological vortices have a flux which is always greater than 4π/e. Further, using these sum rules, I analytically calculate the magnetic moment of these vortices.

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