On multivortices in the electroweak theory II: Existence of Bogomol'nyi solutions in ℝ2

Joel Spruck, Yisong Yang

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper we study the Bogomol'nyi equations of the electroweak theory in the full plane. We will show that, for any distribution of the vortices, there exists a two parameter family of gauge-distinct solutions. Moreover, we also establish some sharp decay rate estimates for these solutions.

Original languageEnglish (US)
Pages (from-to)215-234
Number of pages20
JournalCommunications In Mathematical Physics
Volume144
Issue number2
DOIs
StatePublished - Feb 1992

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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