# Correlations between Abelian Monopoles and center vortices

## TL;DR

This paper investigates the relationship between Abelian monopoles and center vortices in SU(3) gauge theory, demonstrating their correlation, stability of vortex fluxes, and effects on Casimir scaling.

## Contribution

It introduces a model combining fractional monopole fluxes to construct center vortex fluxes and analyzes their interactions and stability in SU(3).

## Key findings

- Center vortex fluxes are stable due to attraction between fractional monopole fluxes.
- Adding monopole-antimonopole pairs disrupts Casimir scaling at intermediate distances.
- The study confirms correlations between monopoles and vortices in non-Abelian gauge theories.

## Abstract

We study the correlations between center vortices and Abelian monopoles for SU($3$) gauge group. Combining fractional fluxes of monopoles, center vortex fluxes are constructed in the thick center vortex model. Calculating the potentials induced by fractional fluxes constructing the center vortex flux in a thick center vortex-like model and comparing with the potential induced by center vortices, we observe an attraction between fractional fluxes of monopoles constructing the center vortex flux. We conclude that the center vortex flux is stable, as expected. In addition, we show that adding a contribution of the monopole-antimonopole pairs in the potentials induced by center vortices ruins the Casimir scaling at intermediate regime.