2011/07/01 by Zhifeng Gao, Yisong Yang
Mathematics · Physics and Astronomy · #Action (physics) #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #Charge (physics) #Classical mechanics #Convergence (economics) #Electric charge #Electromagnetism #Magnetic monopole #Mathematical physics #Mathematics #Minkowski space #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #math-ph #math.MP
paper · pdf · doi:10.1016/j.jfa.2012.01.024
published as Journal of Functional Analysis 262(2012) 3602-3625 · 24 pages
arxiv created 2011/07/01 · openalex publication_date 2012/02/08 · arxiv updated 2012/06/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We prove the existence of electrically and magnetically charged particlelike static solutions, known as dyons, in the minimally gauged Skyrme model developed by Brihaye, Hartmann, and Tchrakian. The solutions are spherically symmetric, depend on two continuous parameters, and carry unit monopole and magnetic charges but continuous Skyrme charge and non-quantized electric charge induced from the 't Hooft electromagnetism. The problem amounts to obtaining a finite-energy critical point of an indefinite action functional, arising from the presence of electricity and the Minkowski spacetime signature. The difficulty with the absence of the Higgs field is overcome by achieving suitable strong convergence and obtaining uniform decay estimates at singular boundary points so that the negative sector of the action functional becomes tractable.