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

Access to Document

10.1007/BF02101552

Fingerprint Dive into the research topics of 'Vortex condensation in the Chern-Simons Higgs model: An existence theorem'. Together they form a unique fingerprint.

Cite this

@article{5389d1c4b7664d79a3df61e43fbc6c44,

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",

month = mar,

doi = "10.1007/BF02101552",

language = "English (US)",

volume = "168",

pages = "321--336",

journal = "Communications in Mathematical Physics",

issn = "0010-3616",

publisher = "Springer New York",

number = "2",

}

TY - JOUR

T1 - Vortex condensation in the Chern-Simons Higgs model

T2 - An existence theorem

AU - Caffarelli, Luis A.

AU - Yang, Yisong

PY - 1995/3

Y1 - 1995/3

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.

UR - http://www.scopus.com/inward/record.url?scp=21844506740&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=21844506740&partnerID=8YFLogxK

U2 - 10.1007/BF02101552

DO - 10.1007/BF02101552

M3 - Article

AN - SCOPUS:21844506740

VL - 168

SP - 321

EP - 336

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

SN - 0010-3616

IS - 2

ER -

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

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Cite this