The QCD phase diagram: Results and challenges

TL;DR

This paper reviews recent progress in understanding the QCD phase diagram using functional methods, focusing on renormalisation group approaches to finite temperature and chemical potential, and discusses phase transition locations and their properties.

Contribution

It introduces a renormalisation group approach to study the QCD phase diagram at finite temperature and chemical potential, highlighting new insights into phase transition lines and their interrelation.

Findings

Locates the confinement-deconfinement transition and chiral transition lines.

Analyzes the nature and interrelation of phase transitions.

Provides updated results on the QCD phase diagram.

Abstract

I review the progress made in recent years with functional methods in our understanding of the QCD phase diagram. In particular I discuss a renormalisation group approach to QCD at finite temperature and chemical potential. Results include the location of the confinement-deconfinement phase transition/cross-over and the chiral phase transition/cross-over lines, their nature as well as their interrelation.