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

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

1998-09-18

arxiv.org/abs/hep-lat/9809139v1

Nucl.Phys.Proc.Suppl. 73 (1999) 644-646

Physics

High Energy Physics

High Energy Physics - Lattice

3 pages, 2 eps figures, LATTICE98(confine)

Scientific paper

10.1016/S0920-5632(99)85162-7

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($\theta$) as a function of $\theta$ parameter. In the strong coupling region, P(Q) shows a gaussian behavior, which indicates a first order phase transition at $\theta =\pi$. In the weak coupling region, P(Q) deviates from gaussian. A bending behavior of resulting F($\theta$) at $\theta \neq \pi$, 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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