Approaches to QCD phase diagram; effective models, strong-coupling lattice QCD, and compact stars

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.

Comments: Lecture given at Helmholtz International Summer School "Dense Matter 2015", 29 June-11 July 2015 and the 15th International Conference on Strageness in Quark Matter (SQM 2015), 6-11 July 2015, Dubna, Russia. 12 pages, 10 figures. Some typos are corrected in v2