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

Luis A. Caffarelli, Yisong Yang

Research output: Contribution to journalArticlepeer-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 languageEnglish (US)
Pages (from-to)321-336
Number of pages16
JournalCommunications In Mathematical Physics
Volume168
Issue number2
DOIs
StatePublished - Mar 1995

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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