# Relations Between Monopoles, Instantons and Chiral Condensate

## TL;DR

This paper explores the relationship between monopoles, instantons, and chiral condensate in four-dimensional QCD, revealing enhanced monopole presence near instantons and their local correlation with chiral symmetry breaking.

## Contribution

It provides the first detailed analysis of monopole-instanton interactions and their impact on chiral condensate in both pure and full QCD.

## Key findings

- Monopoles are more likely to be found inside instanton cores.
- Monopole loops and instantons show local correlations with the chiral condensate.
- Graphical visualizations illustrate monopole-instanton configurations.

## Abstract

We analyze the interplay of topological objects in four dimensional QCD. The distributions of color magnetic monopoles obtained in the maximum abelian gauge are computed around instantons in both pure and full QCD. We find an enhanced probability of encountering monopoles inside the core of an instanton on gauge field average. For specific gauge field configurations we visualize the situation graphically. Moreover we investigate how monopole loops and instantons are locally correlated with the chiral condensate.