XQCD 2018

We summarise recent theoretical results on the QCD phase diagram and the properties of QCD's critical point based on a combination of lattice QCD and Dyson-Schwinger equations. Using lattice input for the quenched gluon propagator, our approach correctly reproduced and predicted Nf=2+1 flavour lattice results for the quark condensate and the unquenched electric and magnetic gluon propagator at zero chemical potential. At chemical potential up to $\mu_B/T$<3 our approach and extrapolations using lattice QCD both confirm an analytic crossover from the hadronic phase into the QGP. Beyond this region we see a critical end point at ($T^c,\mu_B^c$)=(115,504) MeV [1], which is neither very sensitive to additional charm quark contributions [1] nor to corrections from virtual baryons [2]. We are currently studying the zero temperature, high density region; first results will be presented and discussed. [1] C.S.Fischer, J.Luecker and C.A.Welzbacher, Phys.\ Rev.\ D {\bf 90} (2014) no.3, 034022 [2] G.Eichmann, C.S.Fischer and C.A.Welzbacher,Phys.\ Rev.\ D {\bf 93} (2016) no.3, 034013