Existence and Asymptotics for the Topological Chern-Simons Vortices of the $CP(1)$ Model

NAM HEE-SEOK; NAM HEE-SEOK

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P-ISSN3059-0604
E-ISSN3059-1309
KCI

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ISSN : 3059-0604

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Vol.12 No.3

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EXISTENCE AND ASYMPTOTICS FOR THE TOPOLOGICAL CHERN-SIMONS VORTICES OF THE CP(1) MODEL

Existence and Asymptotics for the Topological Chern-Simons Vortices of the $CP(1)$ Model

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309

2005, v.12 no.3, pp.169-178

NAM HEE-SEOK (DEPARTMENT OF MATHEMATICS EDUCATION, SUNGKYUNKWAN UNIVERSITY)

NAM HEE-SEOK. (2005). EXISTENCE AND ASYMPTOTICS FOR THE TOPOLOGICAL CHERN-SIMONS VORTICES OF THE CP(1) MODEL, 12(3), 169-178.

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Abstract

In this paper we study the existence and local asymptotic limit of the topological Chern-Simons vortices of the CP(1) model in $\mathbb{R}^2$. After reducing to semilinear elliptic partial differential equations, we show the existence of topological solutions using iteration and variational arguments & prove that there is a sequence of topological solutions which converges locally uniformly to a constant as the ChernSimons coupling constant goes to zero and the convergence is exponentially fast.

keywords: self-dual Chern-Simons CP(1) model, topological solution, local uniform convergence

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논문 상세

Vol.12 No.3

EXISTENCE AND ASYMPTOTICS FOR THE TOPOLOGICAL CHERN-SIMONS VORTICES OF THE CP(1) MODEL

Existence and Asymptotics for the Topological Chern-Simons Vortices of the $CP(1)$ Model

Abstract

한국수학교육학회지시리즈B:순수및응용수학