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