# SO(3) monopoles, vortices and confinement in SU(2) gauge theory

## TL;DR

This paper advances understanding of confinement in SU(2) gauge theory by exploring Z(2) monopoles and their correlations in SO(3) gauge theory, supported by Monte Carlo evidence.

## Contribution

It introduces correlation inequalities for Z(2) monopoles in SO(3) gauge theory as a sufficient condition for confinement, expanding previous theoretical frameworks.

## Key findings

- Monte Carlo simulations support monopole correlation inequalities
- Correlation inequalities relate to confinement mechanisms
- Physical picture of monopoles in gauge theories clarified

## Abstract

We report on further progress in our programme of understanding confinement in 3d and 4d SU(2) gauge theory in terms of Z(2) monopoles. A sufficient condition for confinement was previously translated into Z(2) monopole correlation inequalities in a related SO(3) gauge theory. We shall discuss the physical picture underlying this scenario and present some Monte Carlo evidence concerning the monopole correlation inequalities.