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ASYMPTOTIC LIMITS FOR THE SELF-DUAL CHERN-SIMONS CP(1) MODEL
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 Title & Authors
ASYMPTOTIC LIMITS FOR THE SELF-DUAL CHERN-SIMONS CP(1) MODEL
HAN, JONG-MIN; NAM, HEE-SEOK;
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 Abstract
In this paper we study the asymptotics for the energy density in the self-dual Chern-Simons CP(1) model. When the sequence of corresponding multivortex solutions converges to the topological limit, we show that the field configurations saturating the energy bound converges to the limit function. Also, we show that the energy density tends to be concentrated at the vortices and antivortices as the Chern-Simons coupling constant goes to zero.
 Keywords
Chern-Simons CP(1) model;asymptotic limits;
 Language
English
 Cited by
1.
Bubbling solutions for the Chern–Simons gauged $$O(3)$$ O ( 3 ) sigma model on a torus, Calculus of Variations and Partial Differential Equations, 2015, 54, 2, 1275  crossref(new windwow)
2.
Nontopological solutions in the self-dual Maxwell–Chern–Simons gauged O(3) sigma model, Nonlinear Analysis: Theory, Methods & Applications, 2015, 118, 22  crossref(new windwow)
3.
Existence and uniqueness of topological multivortex solutions of the self-dual Chern–Simons model, Nonlinear Analysis: Theory, Methods & Applications, 2007, 66, 12, 2794  crossref(new windwow)
 References
1.
F. Bethuel, H. Brezis, and F. Helein, Asymptotics for the minimization of a Ginzburg-Landau functional, Calc. Var. Partial Differential Equations 1 (1993), 123-148 crossref(new window)

2.
E. B. Bogomol'nyi, The stability of classical solutions, Soviet J. Nuclear Phys. 24 (1976), 449-454

3.
D. Chae and H. S. Nam, Multiple existence of the multivortex solutions of the self-dual Chern-Simons CP(1) Model on a doubly periodic domain, Lett. Math. Phys. 49 (1999), 297-315 crossref(new window)

4.
J. Han, Asymptotic limit for condensate solutions in the abelian Chern-Simone Higgs model, Proc. Amer. Math. Soc. 131 (2003), 1839-1845 crossref(new window)

5.
J. Han, Asymptotic limit for condensate solutions in the abelian Chern-Simons Higgs model II, Proc. Amer. Math. Soc. 131 (2003), 3827-3832 crossref(new window)

6.
G.'t Hooft, A property of electric and magnetic flux in non-abelian gauge theories, Nuclear Phys. B. 153 (1979), 141-160 crossref(new window)

7.
A. Jaffe and C. Taubes, Vortices and monopoles, structure of static gauge theories, Birkhauser Boston, 1980

8.
K. Kimm, K. Lee, and T. Lee, The self-dual Chern-Simons CP(N) models, Phys. Lett. B. 380 (1996), 303-307 crossref(new window)

9.
H.S.Nam, Asymptotics for the condensate multivortex solutions in the self-dual Chern-Simons CP(1) Model, J.Math.Phys.42 (2001), 5698-5712. crossref(new window)