Lattice Study of QCD Properties under Extreme Conditions: Temperature, Density, Rotation, and Magnetic Field

This paper is devoted to the study of QCD properties under extreme conditions which is carried out within lattice simulations. In particular, the QCD phase diagram in external magnetic field and nonzero baryonic density is studied. In addition, the equation of state of dense quark–gluon matter which is affected by strong magnetic field is calculated. Finally, we perform lattice simulations of rotating gluodynamics and determine how rotation influences the confinement/deconfinement transition.