1. Simulating magnetic monopole-defect dynamics
- Author
-
Keaton E. Wright, Andrew B. Royston, and Gannon E. Lenhart
- Subjects
High Energy Physics - Theory ,Physics ,Nuclear and High Energy Physics ,010308 nuclear & particles physics ,Dynamics (mechanics) ,Magnetic monopole ,FOS: Physical sciences ,Solitons Monopoles and Instantons ,QC770-798 ,Wilson, ’t Hooft and Polyakov loops ,01 natural sciences ,Supersymmetric Gauge Theory ,Moduli space ,Classical mechanics ,High Energy Physics - Theory (hep-th) ,Supersymmetric gauge theory ,Nuclear and particle physics. Atomic energy. Radioactivity ,0103 physical sciences ,Energy density ,Gravitational singularity ,010306 general physics - 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
- Published
- 2021