# Monopole-antimonopole Interaction Potential

## TL;DR

This paper numerically investigates the interaction potential between twisted monopole-antimonopole pairs in the 't Hooft-Polyakov model, exploring parameter effects and recovering known sphaleron solutions.

## Contribution

It provides a detailed numerical analysis of monopole-antimonopole interactions and maps sphaleron properties across different model parameters.

## Key findings

- Interaction potential varies with scalar to vector mass ratio.
- Sphaleron solutions are recovered at maximum twist.
- Energy and size of sphalerons depend on model parameters.

## Abstract

We numerically study the interactions of twisted monopole-antimonopole pairs in the 't Hooft-Polyakov model for a range of values of the scalar to vector mass ratio. We also recover the sphaleron solution at maximum twist discovered by Taubes, and map out its energy and size as functions of parameters.