Asymptotics for the condensate multivortex solutions in the self-dual Chern-Simons CP(1) model

Authors
Citation
Hs. Nam, Asymptotics for the condensate multivortex solutions in the self-dual Chern-Simons CP(1) model, J MATH PHYS, 42(12), 2001, pp. 5698-5712
Citations number
10
Categorie Soggetti
Physics
Journal title
JOURNAL OF MATHEMATICAL PHYSICS
ISSN journal
00222488 → ACNP
Volume
42
Issue
12
Year of publication
2001
Pages
5698 - 5712
Database
ISI
SICI code
0022-2488(200112)42:12<5698:AFTCMS>2.0.ZU;2-V
Abstract
In this paper we study the asymptotics for the condensate multivortex solut ions in the self-dual Chern-Simons CP(1) model. When the breaking parameter s belongs to (-1/2, 1/2), we show that for any sequence of multivortex sol utions which lies between suitable super- and subsolutions with respect to the Chern-Simons coupling constant kappa, we can find a subsequence which c onverges to a constant depending only on s as kappa goes to zero. Also we i nvestigate the locally uniform convergence speed. (C) 2001 American Institu te of Physics.