Existence of Dyons in the Coupled Georgi-Glashow-Skyrme Model

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Abstract

We prove the existence of a continuous family of finite-energy particle-like solutions in the coupled Georgi-Glashow-Skyrme model carrying both electric and magnetic charges, known as dyons. Due to the presence of electricity and the Minkowski spacetime signature, we need to solve a variational problem with an indefinite action functional. Our results show that, while the magnetic charge is uniquely determined by the topological monopole number, the electric charge of a solution can be arbitrarily prescribed in an open interval.

Original languageEnglish (US)
Pages (from-to)329-349
Number of pages21
JournalAnnales Henri Poincare
Volume12
Issue number2
DOIs
StatePublished - Mar 2011

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Nuclear and High Energy Physics
  • Mathematical Physics

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