Dynamical O(4) symmetry in the asymptotic field of the Prasad-Sommerfield monopole

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24 Citations (Scopus)


The exact solution is presented for the classical and quantum mechanical problem of a spinless, isospin-carrying test particle interacting with a singular monopole of the same large-distance asymptotic behaviour as the Prasad-Sommerfield 1-monopole. It is demonstrated that this problem has a dynamical O(4) symmetry. The classical mechanical equation of motion is traced back to a non-relativistic Coulomb problem. The long-range Higgs field results in monopole-test-particle bound states. The bound state spectrum is derived on a purely group theoretic basis using dynamical symmetry.

Original languageEnglish
Article number026
Pages (from-to)1259-1270
Number of pages12
JournalJournal of Physics A: General Physics
Issue number7
Publication statusPublished - Dec 1 1986

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Physics and Astronomy(all)
  • Mathematical Physics

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