On the relation of quark confinement and chiral symmetry breaking

TL;DR

This paper investigates the QCD phase diagram, introducing a new quark density-based order parameter for confinement, and explores its relation to chiral symmetry breaking and the Polyakov loop, revealing a close connection between the phase transitions.

Contribution

It introduces a novel order parameter for confinement related to quark density and analyzes its relation to existing parameters and phase transitions in QCD.

Findings

New order parameter accessible via theoretical and lattice methods

Close relation between chiral and confinement phase transitions

Analysis of the QCD phase diagram with the new parameter

Abstract

We study the phase diagram of QCD with the help of order parameters for chiral symmetry breaking and quark confinement. We also introduce a new order parameter for the confinement phase transition, which is related to the quark density. It is easily accessible by different theoretical approaches, such as functional approaches or lattice simulations. Its relation to the Polyakov loop expectation value is discussed and the QCD phase diagram is analysed. Our results suggest a close relation between the chiral and the confinement phase transition.