Abstract
We propose a method to find the QCD critical point at finite density calculating the canonical partition function Z C ( T , N ) by Monte-Carlo simulations of lattice QCD, and analyze data obtained by a simulation with two-flavor p4-improved staggered quarks with pion mass m π ≈ 770 MeV . It is found that the shape of an effective potential changes gradually as the temperature decreases and a first order phase transition appears in the low temperature and high density region. This result strongly suggests the existence of the critical point in the ( T , μ q ) phase diagram.
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