Vortex condensation in the Chern-Simons Higgs model: An existence theorem

Luis A. Caffarelli; Yisong Yang

doi:10.1007/BF02101552

Vortex condensation in the Chern-Simons Higgs model: An existence theorem

Luis A. Caffarelli, Yisong Yang

Mathematics

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

Abstract

It is shown that there is a critical value of the Chern-Simons coupling parameter so that, below the value, there exists self-dual doubly periodic vortex solutions, and, above the value, the vortices are absent. Solutions of such a nature indicate the existence of dyon condensates carrying quantized electric and magnetic charges.

Original language	English (US)
Pages (from-to)	321-336
Number of pages	16
Journal	Communications In Mathematical Physics
Volume	168
Issue number	2
DOIs	https://doi.org/10.1007/BF02101552
State	Published - Mar 1995

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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title = "Vortex condensation in the Chern-Simons Higgs model: An existence theorem",

abstract = "It is shown that there is a critical value of the Chern-Simons coupling parameter so that, below the value, there exists self-dual doubly periodic vortex solutions, and, above the value, the vortices are absent. Solutions of such a nature indicate the existence of dyon condensates carrying quantized electric and magnetic charges.",

author = "Caffarelli, {Luis A.} and Yisong Yang",

year = "1995",

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doi = "10.1007/BF02101552",

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N2 - It is shown that there is a critical value of the Chern-Simons coupling parameter so that, below the value, there exists self-dual doubly periodic vortex solutions, and, above the value, the vortices are absent. Solutions of such a nature indicate the existence of dyon condensates carrying quantized electric and magnetic charges.

AB - It is shown that there is a critical value of the Chern-Simons coupling parameter so that, below the value, there exists self-dual doubly periodic vortex solutions, and, above the value, the vortices are absent. Solutions of such a nature indicate the existence of dyon condensates carrying quantized electric and magnetic charges.

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JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

SN - 0010-3616

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Vortex condensation in the Chern-Simons Higgs model: An existence theorem

Abstract

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