Signatures of the Induced $\mathrm{\Theta }$ vacuum state in Heavy Ion Collisions

It was argued recently that, in general, an arbitrary induced theta vacuum state would be created in the heavy ion collisions, similar to the creation of the disoriented chiral condensatewith an arbitrary isospin direction. It should be a large domain with a wrong theta orientation which will mimic the physics of the world when the fundamental theta is non-zero. I suggest a few simple observables which can (hopefully) be measured on an event by event basis at RHIC, and which uniquely determine whether the induced theta vacuum state is created.