Two dimensional CP2 Model with θ-term and Topological Charge Distributions
Abstract
Topological charge distributions in 2 dimensional CP2 model with theta-term is calculated. In strong coupling regions, topological charge distribution is approximately given by Gaussian form as a function of topological charge and this behavior leads to the first order phase transition at θ=π. In weak coupling regions it shows non-Gaussian distribution and the first order phase transition disappears. Free energy as a function of θ shows "flattening" behavior at theta=thetaf<pi, when we calculate the free energy directly from topological charge distribution. Possible origin of this flattening phenomena is prensented.
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