Phase structure of the semi-classical linear sigma model

In order to establish a quantitative framework for assessing the reliability of dynamical simulations of DCC phenomena with the semi-classical mean-field treatment of the linear σ model, we determine and discuss the phase structure implied by this approximate treatment. While the results appear to be physically reasonable for realistic scenarios, where the pion mass and the volume are finite, the approximate treatment might be less appropriate for idealized scenarios involving small masses and large volumes.