Overview of the QCD phase diagram

Abstract

In recent years there has been much progress on the investigation of the QCD phase diagram with lattice QCD simulations. In this review we focus on the developments in the last two years. Especially the addition of external influences or new parameter ranges yields an increasing number of interesting results. We discuss the progress for small, finite densities from both extrapolation-based methods (Taylor expansion and analytic continuation for imaginary chemical potential) and complex Langevin simulations, for heavy quark bound states (quarkonium), the dependence on the quark masses (Columbia plot) and the influence of a magnetic field. Many of these conditions are relevant for the understanding of both the QCD transition in the early universe and heavy ion collision experiments, which are conducted for example at the LHC and RHIC.

Strong coupling methods in QCD thermodynamics

“…Obtained from a different discretisation and in a very different parameter range, this behaviour agrees with the finding for heavy quarks discussed in the last sections. Note also that the endpoint of the chiral transition quickly moves to l B J3T, which is consistent with all results reported for N f ¼ 2 þ 1 QCD at the physical point (for overviews and references, see [64][65][66]).…”

Erratum to: Topical issue on Lattice Field Theory during the Covid-19 pandemic

“… The anomalous magnetic moment of the muon: status of lattice QCD calculations (A. Gérardin) [ 1 ]. Overview of the QCD phase diagram – Recent progress from the lattice (J. N. Günther) [ 2 ]. The x-dependence of hadronic parton distributions: A review on the progress of lattice QCD (M. Constantinou) [ 3 ].…”

Collision energy dependence of the critical end point from baryon number fluctuations in the Linear Sigma Model with quarks

“…with 2 = 0.0153 and 4 = 0.00032 [5,33]. To find the values of the parameters, we first fix a value of , and find the solution of Eq.…”

“…(18) and using the parametrization of the transition curve in Eq. (20) with 2 and 4 found from the LQCD calculation in Refs [5,33]…”