$\theta$ Bag and Quark Confinement

We propose $\theta$ bag through the wall separating $\theta=0$ and $\theta=\pi$. $\theta$ may or may not be a dynamical field generating the wall. For a massive pseudo scalar $\theta$, we present a two Higgs doublet model. We also presnt an idea for quark confinement within this $\theta$ bag scheme.