Abstract :
We propose a method to find the QCD critical point at finite density calculating the canonical partition function ZC(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 mπ≈770MeV. 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,μq) phase diagram.
