# A Lattice Inspired Model for Monopole Dynamics

## TL;DR

This paper introduces a lattice-inspired model for monopole dynamics, revealing a phase transition that supports the role of magnetic monopoles in confinement via the dual Meissner effect.

## Contribution

It proposes a novel lattice reduction approach to model monopole behavior and analyzes its phase structure in relation to confinement mechanisms.

## Key findings

- First order phase transition observed below critical coupling and temperature.
- Model aligns with the dual Meissner effect hypothesis for confinement.
- Provides a lattice-based framework for monopole dynamics.

## Abstract

The site-reduction of U(1) lattice gauge theory along the spatial directions is used to model the monopole dynamics. The reduced theory is that of the angle-valued coordinates on the discrete worldline. Below the critical coupling $g_{c}=1.125$ and temperature $T_c=0.335$ the model exhibits a first order phase transition. It is argued that the phase structure matches with the proposed role for magnetic monopoles in the confinement mechanism based on the dual Meissner effect.