Abstract

In this talk I discuss three recent developments in the theoretical understanding of the phase diagram of the strong interaction. The first topic deals with the comparison of model calculations of the quark-hadron transition at vanishing quark chemical potential with state-of-the-art lattice QCD results. In the second relates to the size of a possible 'quarkyonic phase'. The third deals with the occurence of inhomogeneous chiral phases.

Highlights

  • Exploring the chiral and deconfining properties of stronginteraction matter at high temperatures and large densities is one of the central themes in nuclear- and astrophysics [1, 2]

  • The first topic deals with the comparison of model calculations of the quark-hadron transition at vanishing quark chemical potential with state-of-the-art lattice QCD results

  • High-energy heavy-ion collision experiments at RHIC and the SPS have started to look for experimental evidence of the critical endpoint (CEP) and experiments at future heavy-ion facilities (FAIR and NICA), have been designed to probe the relevant high-density region in the QCD phase diagram

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Summary

Introduction

Exploring the chiral and deconfining properties of stronginteraction matter at high temperatures and large densities is one of the central themes in nuclear- and astrophysics [1, 2]. The general phase structure and, in particular, the possible existence of a (chiral) critical endpoint (CEP) for finite net baryon number density and its consequences for the phase structure of QCD at lower temperatures are much under debate. One currently resorts to models that capture some of the essential features of QCD, such as the basic symmetries and their breaking patterns. Limited in their predictive power, such models, nontheless, give valuable insight into various physical effects governing the phase structure, in particular the existence of a chiral CEP, a confined but chirally restored phase at low temperatures (’quarkyonic matter’) and/or the occurence of inhomogeneous chiral phases

The Quark-Hadron Transition at small μ
The Polyakov Quark Meson Model
TrP exp
Mean-Field Results
PQM log lp PQM pol
Including Fluctuations
Inhomogeneous Phases of QCD Matter
Inhomogeneous phases in the NJL model
Including Vector Interactions
Conlusions and Outlook
Full Text
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