# Clustering of Monopoles in the Instanton Vacuum

## TL;DR

This study investigates how instantons in the vacuum can induce monopole loops that form large clusters, potentially explaining the confinement mechanism in quantum chromodynamics.

## Contribution

It demonstrates that dense instanton configurations lead to large monopole clusters, suggesting a link between instantons and confinement.

## Key findings

- Monopole loops form large clusters in dense instanton vacua.
- Instanton density correlates with monopole cluster size.
- Confinement may be driven by instanton-induced monopoles.

## Abstract

We generate a random instanton vacuum with various densities and size distributions. We perform numerically the maximally abelian gauge fixing of these configurations in order to find monopole trajectories induced by instantons. We find that instanton-induced monopole loops form enormous clusters occupying the whole physical volume, provided instantons are sufficiently dense. It indicates that confinement might be caused by instantons.