# Disorder Parameter of Confinement

## TL;DR

This paper investigates a disorder parameter for the confinement-deconfinement transition in SU(2) QCD, constructing an operator that behaves as an order parameter in numerical simulations, enhancing understanding of phase transitions.

## Contribution

It introduces a novel operator as a disorder parameter for the confinement transition, linking monopole action with observable phase behavior in finite temperature QCD.

## Key findings

- The operator functions as an effective disorder parameter.
- Numerical simulations confirm proper behavior of the operator.
- The approach connects monopole dynamics with confinement phenomena.

## Abstract

The disorder parameter of confinement-deconfinement phase transition based on the monopole action determined previously in $SU(2)$ QCD are investigated. We construct an operator which corresponds to the order parameter defined in the abelian Higgs model. The operator shows proper behaviors as the disorder parameter in the numerical simulations of finite temperature QCD.