Nontopological Condensates for the Self-Dual Chern-Simons-Higgs Model
Nontopological-Condensates-for-the-Self-Dual-Chern-Simons-Higgs-Model.pdf (620.6Kb)Abstract
For the abelian self-dual Chern-Simons-Higgs model we address existence issues
of periodic vortex configurations—the so-called condensates—of nontopological
type as k ! 0, where k > 0 is the Chern-Simons parameter. We provide a
positive answer to the longstanding problem on the existence of nontopological
condensates with magnetic field concentrated at some of the vortex points (as a
sum of Dirac measures) as k ! 0, a question that is of definite physical interest.
General note
Artículo de publicación ISI
Patrocinador
FONDAP and
Fondecyt 1070389 (Chile); PRIN project
“Critical Point Theory and Perturbative Methods for Nonlinear Differential Equations”
and Firb-Ideas project “Analysis and Beyond.”; Proyecto Anillo ACT-125 and Fondecyt Postdoctorado 3120039
(Chile). Musso’s research was supported by Fondecyt grant 1040936 (Chile) and
by PRIN project “Metodi variazionali e topologici nello studio di fenomeni non
lineari.”
Identifier
URI: https://repositorio.uchile.cl/handle/2250/132958
DOI: DOI: 10.1002/cpa.21548
ISSN: 1097-0312
Quote Item
Communications on Pure and Applied Mathematics, Vol. LXVIII, 1191–1283 (2015)
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