CP(N-1) model and topological term

We study CP(N-1) model with topological term for N = 3 and 4. The topologic al charge distribution P(Q) is calculated. The distribution P(Q) is then tr ansformed to the partition function Z(theta) as a function of theta paramet er. P(Q) is Gaussian in the strong coupling region, leading to a first orde r phase transition at theta = pi. In the weak coupling region, P(Q) deviate s from Gaussian. Intermediate and weak coupling regions are characterized b y the leading power of the fits to In P(Q). Free energy as a function of th eta shows "flattening" behavior at theta = theta(f) < pi, when we calculate the free energy directly from topological charge distribution. We also sho w some preliminary results for the fixed point action.