THE EXISTENCE OF GENERALIZED SELF-DUAL CHERN-SIMONS VORTICES

Citation
Dh. Tchrakian et Ys. Yang, THE EXISTENCE OF GENERALIZED SELF-DUAL CHERN-SIMONS VORTICES, letters in mathematical physics, 36(4), 1996, pp. 403-413
Citations number
9
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
ISSN journal
03779017
Volume
36
Issue
4
Year of publication
1996
Pages
403 - 413
Database
ISI
SICI code
0377-9017(1996)36:4<403:TEOGSC>2.0.ZU;2-#
Abstract
We establish the existence and uniqueness of radially symmetric self-d ual topological vortices in the p = 2 members of the hierarchies of (g eneralised) Chern-Simons Higgs and Abelian Higgs models. We also obtai n all possible symmetric nontopological vortices in the Chern-Simons m odel characterised by an additional parameter governing the decay rate s of the fields.