On non-topological multivortex condensates in the generalized self-dual Chern-Simons theory

被引：0

作者：

Suzuki, T ^{[1
]}

Takahashi, F ^{[1
]}

机构：

[1] Osaka Univ, Grad Sch Engn Sci, Suita, Osaka 565, Japan

来源：

Recent Advances in Elliptic and Parabolic Problems | 2005年

关键词：

D O I：

10.1142/9789812702050_0018

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note, we sketch a method of construction of non-topological multivortex (periodic) condensates in the generalized self-dual Chern-Simons gauge theory. We propose a simple proof of the desired property of the linearized operator needed in the construction in use of classical abstract analysis.

引用

页码：259 / 270

页数：12

共 14 条

[1] GENERALIZED SELF-DUAL CHERN-SIMONS VORTICES [J].

BURZLAFF, J ;

CHAKRABARTI, A ;

TCHRAKIAN, DH .

PHYSICS LETTERS B, 1992, 293 (1-2) :127-131

[2] VORTEX CONDENSATION IN THE CHERN-SIMONS HIGGS-MODEL - AN EXISTENCE THEOREM [J].

CAFFARELLI, LA ;

YANG, YS .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1995, 168 (02) :321-336

[3] The existence of non-topological multivortex solutions in the relativistic self-dual Chern-Simons theory [J].

Chae, D ;

Imanuvilov, OY .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2000, 215 (01) :119-142

[4] Non-topological solutions in the generalized self-dual Chern-Simons-Higgs theory [J].

Chae, D ;

Imanuvilov, OY .

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2003, 16 (01) :47-61

[5] An analysis of the two-vortex case in the Chern-Simons Higgs model [J].

Ding, WY ;

Jost, J ;

Li, JY ;

Wang, GF .

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 1998, 7 (01) :87-97

[6] Self duality equations for Ginzburg-Landau and Seiberg-Witten type functionals with 6th order potentials [J].

Ding, WY ;

Jost, J ;

Li, JY ;

Peng, XW ;

Wang, GF .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2001, 217 (02) :383-407

[7]

Gohberg IG., 1960, AM MATH SOC TRANSL, V2, P185

[8] MULTIVORTEX SOLUTIONS OF THE ABELIAN CHERN-SIMONS-HIGGS THEORY [J].

HONG, JY ;

KIM, YB ;

PAC, PY .

PHYSICAL REVIEW LETTERS, 1990, 64 (19) :2230-2233

[9] SELF-DUAL CHERN-SIMONS VORTICES [J].

JACKIW, R ;

WEINBERG, EJ .

PHYSICAL REVIEW LETTERS, 1990, 64 (19) :2234-2237

[10]

JAFFE A, 1980, VORTICES MONOPOLES S

← 1 2 →