Simulating Magnetic Monopole-Defect Dynamics

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.

44 pages, 9 figures. One Mathematica notebook and four simulations included as ancillary files. Introduction written from an undergraduate perspective. v2: reference added and typos corrected. v3: discussion of energy loss due to radiation extended and improved; published version

References in corpus (6)

• Instantons on Gravitons
• The 't Hooft-Polyakov Monopole in the Presence of a 't Hooft Operator
• The Forced Soliton Equation and Semiclassical Soliton Form Factors
• Singular Monopoles via the Nahm Transform
• Accelerating Solitons
• One Monopole with k Singularities