Phase structure of CP(N-1) model with topological term

CP(N-1) model with topological term is numerically studied. The topological charge distribution P(Q) is calculated and then transformed to the partition function Z($θ$) as a function of $θ$ parameter. In the strong coupling region, P(Q) shows a gaussian behavior, which indicates a first order phase transition at $θ=π$. In the weak coupling region, P(Q) deviates from gaussian. A bending behavior of resulting F($θ$) at $θ\neq π$, which might be a signal of a first order phase transition, could be misled by large errors coming from the fourier transform of P(Q). Results are shown mainly for CP(3) case.

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