PUB - Publikationen an der Universität Bielefeld

We show that the strong CP problem can, in principle, be solved dynamicallyby adding extra-dimensions with compact topology. To this aim we consider a toymodel for QCD, which contains a vacuum angle and a strong CP like problem. Wefurther consider a higher dimensional theory, which has a trivial vacuumstructure and which reproduces the perturbative properties of the toy model inthe low-energy limit. In the weak coupling regime, where our computations arevalid, we show that the vacuum structure of the low-energy action is stilltrivial and the strong CP problem is solved. No axion-like particle occur inthis setup and therefore it is not ruled out by astrophysical bounds.