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Non-Topological Multi-Vortex Solutions to the Self-Dual Chern-Simons-Higgs Equation.

Authors :
Chan, Hsungrow
Fu, Chun-Chieh
Lin, Chang-Shou
Source :
Communications in Mathematical Physics; Dec2002, Vol. 231 Issue 2, p189-221, 33p
Publication Year :
2002

Abstract

In this article, we construct self-dual N-vortex solutions with a large magnetic flux Φ of (2+1)-dimensional relativistic Chern-Simons model, provided that the coupling constant κ is small and the cites of vorticity satisfies . Our solutions exhibit the bubbling phenomenon at each p<subscript> j</subscript>. Near each vortex p<subscript> j</subscript>, solutions are locally asymptotically symmetric with respect to p<subscript> j</subscript>, and the curvature F<subscript>12</subscript> tends to a sum of Dirac measures as κ tends to zero. By a heuristic argument, it is shown that (0.1) is also a necessary condition for the existence of multi-vortex solutions which has a locally asymptotically symmetric vortex at . [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00103616
Volume :
231
Issue :
2
Database :
Complementary Index
Journal :
Communications in Mathematical Physics
Publication Type :
Academic Journal
Accession number :
49956616
Full Text :
https://doi.org/10.1007/s00220-002-0691-6