On the existence of a first order phase transition at small vacuum angle $\theta$ in the $C{P}^3$ model

Abstract

We examine the phase structure of the $C{P}^3$ model as a function of $\theta$ in the weak coupling regime. It is shown that the model has a first order phase transition at small $\theta$. We pay special attention to the extrapolation of the data to the infinite volume. It is found that the critical value of $\theta$ decreases towards zero as $\beta$ is taken to infinity.

3 pages, DESY 93-177, talk presented by G. Schierholz at Lattice93

References in corpus (1)

• Scaling topological charge in the CP^3 spin model

Cited by in corpus (6)

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• The $\theta$-term, CP${}^{N-1}$ Model and the Inversion Approach in the Imaginary $\theta$ Method
• Vacuum Nodes in QCD at $\theta =\pi$: Exact Results
• Vacuum structure of CP^N sigma models at theta=pi
• Phase structure of CP(N-1) model with topological term