Two dimensional CP^2 Model with θ-term and Topological Charge Distributions

Details Two dimensional CP^2 Model with θ-term and Topological Charge Distributions Two dimensional CP^2 Model with θ-term and Topological Charge Distributions

1999-05-30

arxiv.org/abs/hep-lat/9905035v1

Prog.Theor.Phys. 102 (1999) 653-670

Physics

High Energy Physics

High Energy Physics - Lattice

17 pages,7 figures

Scientific paper

10.1143/PTP.102.653

Topological charge distributions in 2 dimensional CP^2 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 \theta=\pi. In weak coupling regions it shows non-Gaussian distribution and the first order phase transition disappears. Free energy as a function of \theta shows "flattening" behavior at theta=theta_f

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