The Existence of Generalised Self-Dual Chern-Simons Vortices

D. H. Tchrakian; Yisong Yang

doi:10.1007/BF00714405

The Existence of Generalised Self-Dual Chern-Simons Vortices

D. H. Tchrakian, Yisong Yang

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We establish the existence and uniqueness of radially symmetric self-dual topological vortices in the p = 2 members of the hierarchies of (generalised) Chern-Simons Higgs and Abelian Higgs models. We also obtain all possible symmetric nontopological vortices in the Chern-Simons model characterised by an additional parameter governing the decay rates of the fields.

Original language	English (US)
Pages (from-to)	403-413
Number of pages	11
Journal	Letters in Mathematical Physics
Volume	36
Issue number	4
DOIs	https://doi.org/10.1007/BF00714405
State	Published - 1996

Keywords

Abelian higgs models
Chern-simons vortices

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/BF00714405

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title = "The Existence of Generalised Self-Dual Chern-Simons Vortices",

abstract = "We establish the existence and uniqueness of radially symmetric self-dual topological vortices in the p = 2 members of the hierarchies of (generalised) Chern-Simons Higgs and Abelian Higgs models. We also obtain all possible symmetric nontopological vortices in the Chern-Simons model characterised by an additional parameter governing the decay rates of the fields.",

keywords = "Abelian higgs models, Chern-simons vortices",

author = "Tchrakian, {D. H.} and Yisong Yang",

year = "1996",

doi = "10.1007/BF00714405",

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AU - Tchrakian, D. H.

AU - Yang, Yisong

PY - 1996

Y1 - 1996

N2 - We establish the existence and uniqueness of radially symmetric self-dual topological vortices in the p = 2 members of the hierarchies of (generalised) Chern-Simons Higgs and Abelian Higgs models. We also obtain all possible symmetric nontopological vortices in the Chern-Simons model characterised by an additional parameter governing the decay rates of the fields.

AB - We establish the existence and uniqueness of radially symmetric self-dual topological vortices in the p = 2 members of the hierarchies of (generalised) Chern-Simons Higgs and Abelian Higgs models. We also obtain all possible symmetric nontopological vortices in the Chern-Simons model characterised by an additional parameter governing the decay rates of the fields.

KW - Abelian higgs models

KW - Chern-simons vortices

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U2 - 10.1007/BF00714405

DO - 10.1007/BF00714405

M3 - Article

AN - SCOPUS:0038157709

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EP - 413

JO - Letters in Mathematical Physics

JF - Letters in Mathematical Physics

IS - 4

ER -

The Existence of Generalised Self-Dual Chern-Simons Vortices

Abstract

Keywords

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