Phase structures of finite density QCD from Lee-Yang zeros in lattice QCD with canonical approach

We report Lee-Yang zeros behavior at finite temperature and density using the canonical approach in lattice QCD. The quark number densities are calculated at the pure imaginary chemical potential iμ_qI in lattice QCD. Canonical partition functions Z_c(n,T,V) up to some maximal values of n are obtained through fitting the theoretically motivated functions to the quark number densities and used to compute the Lee-Yang zeros. We study the temperature dependence of the distributions of the Lee-Yang zeros around the pseudo-critical temperature region T/T_c = 0.84 - 1.35. A Roberge-Weiss phase transition at T/T_c ≥ 1.20 is observed in the distributions of the Lee-Yang zeros. We also discuss the dependence of the behaviors of Lee-Yang zeros on the maximal value of n.