Disoriented chiral condensates in the (2+1)-dimensional Gross-Neveu model: a dynamical simulation

We study the dynamics of the formation of disoriented chiral condensate (DCC) regions which follow the expansion of a high energy density region into the “cold” vacuum. We numerically solve the classical equations of motions for an effective Hamiltonian 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 local ratios Ra = πa2π2 (a = 1,2,3), and of the energies associated with the fields at representative times.