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We study the local violation of P and CP invariance in heavy ion collisionsas observed at RHIC and LHC using a simple "deformed QCD" model. This model isa weakly coupled gauge theory, which however has all the relevant crucialelements allowing us to study difficult and nontrivial questions which areknown to be present in real strongly coupled QCD. Essentially, we want tounderstand the physics of long range order in form of coherent low dimensionalvacuum configurations observed in Monte Carlo lattice simulations. Apparentlyprecisely such kind of configurations are responsible for sufficiently strongintensity of asymmetries observed in heavy ion collisions.

P odd fluctuations and Long Range Order in Heavy Ion Collisions. Deformed QCD as a Toy Model