  We study the local violation of P and CP invariance in heavy ion collisions
as observed at RHIC and LHC using a simple "deformed QCD" model. This model is
a weakly coupled gauge theory, which however has all the relevant crucial
elements allowing us to study difficult and nontrivial questions which are
known to be present in real strongly coupled QCD. Essentially, we want to
understand the physics of long range order in form of coherent low dimensional
vacuum configurations observed in Monte Carlo lattice simulations. Apparently
precisely such kind of configurations are responsible for sufficiently strong
intensity of asymmetries observed in heavy ion collisions.
