Theta dependence of CP^9 model

TL;DR

This paper investigates the $CP^9$ model's behavior with a theta term using new numerical techniques, revealing spontaneous CP symmetry breaking at $ heta=\pi$ in the continuum limit.

Contribution

It applies and validates two novel numerical algorithms for simulating the $CP^9$ model with a theta term, demonstrating their effectiveness in the weak coupling regime.

Findings

Algorithms successfully tested in weak coupling

Results show CP symmetry breaking at $ heta=\pi$

Results scale with renormalization group equations

Abstract

We apply to the $CP^9$ 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 $CP^9$ in presence of a theta term, CP symmetry is spontaneously broken at $\theta=\pi$ in the continuum limit.