Recent progress in lattice QCD at finite density

Abstract

We review recent progress in lattice QCD at finite density. Th e phase diagram of QCD and the equation of state at finite temperature and density are di scussed. In particular, we focus on the critical point terminating a first order phase transitio n line in the high density region. The critical point is one of the most interesting features that m ay be discovered in heavy-ion collision experiments. We summarize the current discussion on the existence of a critical point in the QCD phase diagram and discuss some attempts to find the critical p oint by numerical simulations.