Simulating magnetic monopole-defect dynamics

Abstract

Abstract We present simulations of one magnetic monopole interacting with multiple magnetic singularities. Three-dimensional plots of the energy density are constructed from explicit solutions to the Bogomolny equation obtained by Blair, Cherkis, and Durcan. Animations follow trajectories derived from collective coordinate mechanics on the multi-centered Taub-NUT monopole moduli space. We supplement our numerical results with a complete analytic treatment of the single-defect case.

Keywords

• Solitons Monopoles and Instantons
• Supersymmetric Gauge Theory
• Wilson, ’t Hooft and Polyakov loops