Abstract
The outline of the two lectures given in “Dense Matter School 2015” is presented. After an overview on the relevance of the phase diagram to heavy-ion collisions and compact star phenomena, I show some basic formulae to discuss the QCD phase diagram in the mean field treatment of the Nambu-Jona-Lasinio model. Next, I introduce the strong-coupling lattice QCD, which is one of the promising methods to access the QCD phase diagram including the first order phase boundary. In the last part, I discuss the QCD phase diagram in asymmetric matter, which should be formed in compact star phenomena.
Highlights
QCD phase diagram is closely related to the history of our universe and can be probed by using laboratory experiments including heavy-ion collisions
The lattice QCD Monte-Carlo (LQCD-MC) simulations suffer from the notorious sign problem, which prevents us from obtaining precise phase boundary at finite ρB from the first principles non-perturbative calculation
We need experimental data on critical point (CP) and the first order phase transition, and/or some breakthrough in lattice QCD at finite density in order to pin down the location of CP and to understand the structure of the QCD phase diagram
Summary
QCD phase diagram is closely related to the history of our universe and can be probed by using laboratory experiments including heavy-ion collisions. Effective model calculations suggest the existence of the first order phase transition boundary at finite density [6]. The location of CP determines the shape of the phase diagram, and CP hunting is in progress in the current beam energy scan (BES) program at RHIC [9] and will be performed in the forthcoming facsilities such as FAIR, NICA, and heavy-ion beam facsilities at. In this proceedings contribution, I give the outline of the two lectures given in ”Dense Matter. AGeV Au+Au collisions [5]
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