Simulations of Magnetic Monopole Collisions

TL;DR

This paper uses numerical simulations to study the scattering behaviors of magnetic monopoles, including multi-monopole interactions and relativistic effects, confirming theoretical models and exploring beyond the BPS limit.

Contribution

It introduces a new ansatz for multi-monopole configurations and extends scattering analysis to relativistic velocities and non-BPS parameters.

Findings

Scattering results agree with moduli space approximation predictions.

Multi-monopole interactions include complex tetrahedral and cubic formations.

Relativistic velocities and non-BPS parameters significantly influence monopole dynamics.

Abstract

In this paper, we investigate the scattering of BPS magnetic monopoles through numerical simulations. We present an ansatz for various multi-monopole configurations suitable for analyzing monopole scattering processes. Our study includes planar scattering scenarios involving two, three, and four monopoles, as well as non-planar processes where three and four monopoles form intermediate tetrahedral and cubic states, respectively. Our observations align with the theoretical predictions of the moduli space approximation. Furthermore, we extend our analysis to relativistic velocities and explore parameters beyond the BPS limit.