MEAN-FIELD TREATMENT OF THE LINEAR SIGMA-MODEL IN DYNAMICAL CALCULATIONS OF DCC OBSERVABLES

Approximate mean-field equations of motion for the classical chiral fi eld are developed within the linear a model by means of a Hartree fact orization. Both the approximated and the unapproximated equations of m otion are augmented with a Rayleigh cooling term to emulate a uniform expansion, thereby allowing the extraction of observables relevant to the detection of disoriented chiral condensates, specifically the pion power spectrum, the pion correlation function, and the distribution o f the neutral pion fraction. While the mean-field dynamics appears to be sufficiently accurate to be practically useful, the results also il lustrate some difficulties associated with identifying the phenomenon experimentally. (C) 1997 Elsevier Science B.V.