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DISORIENTED CHIRAL CONDENSATES : A DYNAMICAL SIMULATION IN THE ( 2 + 1 )-DIMENSIONAL GROSS-NEVEU MODEL ∗

We simulate the formation and growth of disoriented chiral condensate (DCC) regions which follow the expansion of a high energy density region into the " cold " vacuum. The numerical study is based on the one-loop effective potential for the massive 2+1-dimensional Gross-Neveu model. We pay attention to the setting of the initial conditions and to determining which parameters are relevant for a strong amplification of the pion field. We find that the size of the " hot " source plays a significant role. For large enough source radii, we observe strong correlation phenomena, corresponding to the growth of large regions where the pion field oscillates along a given direction. We give our results in terms of the θ angle which defines the DCC disorientation, of the other O(4) angles distributions, of the local ratios R a = π 2 a / π 2 (a = 1, 2, 3), and of the energies associated with the fields at representative times.