Theta dependence of CP^9 model

Abstract

We apply to the $C{P}^9$ model two recently proposed numerical techniques for simulation of systems with a theta term. The algorithms, successfully tested in the strong coupling limit, are applied to the weak coupling region. The results agree and errors have been evaluated and are at % level. The results scale well with the renormalization group equation and show that, for $C{P}^9$ in presence of a theta term, CP symmetry is spontaneously broken at $\theta =\pi$ in the continuum limit.

4 pages, 4 figures

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• Critical behaviour of the O(3) nonlinear sigma model with topological term at theta=pi from numerical simulations
• Geometric Algorithm for Abelian-Gauge Models
• Progress in numerical simulations of systems with a $\theta -$vacuum like term: The two and three-dimensional Ising model within an imaginary magnetic field
• Massive Schwinger model at finite $\theta$
• Theta-vacuum and large N limit in CP^{N-1} sigma models
• Fractionally charged Wilson loops as a probe of $\theta$-dependence in $C{P}^{N-1}$ sigma models: Instantons vs. large N
• Efficient Cluster Algorithm for CP(N-1) Models
• Image-processing the topological charge density in the CP(N-1) model
• Evidence of a CP broken deconfined phase in 4D SU(2) Yang-Mills theory at $\theta =\pi$ from imaginary $\theta$ simulations
• Large $\theta$ angle in two-dimensional large $N$ ${\mathbb{CP}}^{N-1}$ model