Production of classical pion field and/or disoriented chiral condensate

We discuss the possibility of production of a classical pion field in high energy nuclei-nuclei collisions. We show that the occupation number for the produced pions can be large as required for the case of a classical field. By examination of the cooling we conclude that in the “quench” scenario it is unlikely to produce a large domain of DCC. The size of domain can be essentially larger due to the temperature dependence of the parameters of the effective Lagrangian. However even in this case the decay of the DCC leads to the production of no more than several tenths of pions which are not easy to distinguish from the “normal” pions.