Open AccessAsymptotic limit for condensate solutions in the Abelian Chern-Simons Higgs model
Author(s) -
Jong-Min Han
Publication year - 2002
Publication title -
proceedings of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.968
H-Index - 84
eISSN - 1088-6826
pISSN - 0002-9939
DOI - 10.1090/s0002-9939-02-06737-0
Subject(s) - algorithm , artificial intelligence , computer science , database
In this paper we show that the maximal solutions ( ϕ ϵ , A ϵ ) (\phi ^\epsilon , A^\epsilon ) in the Abelian Chern-Simons Higgs model on a ’t Hooft type periodic domain converges to ( ϕ ∗ , A ∗ ) (\phi _*,A_*) and ϕ ∗ \phi _* is a harmonic map. We also study asymptotic behaviors of the energy density.