TRANSPORT-THEORY OF RELATIVISTIC HEAVY-ION COLLISIONS WITH CHIRAL SYMMETRY

A transport theory with chiral symmetry is developed from the quark level to describe the chiral dynamics in high-energy heavy-ion collisions. The strong interaction is treated effectively by the Nambu-Jona-Lasinio model. A set of generalized Boltzmann equations of constitutent quarks and mesons is derived by using the closed time-path Green's function technique and a loop expansion approach. Chiral symmetry, energy spectrum and dissipation, and density distributions of constitutent quarks and mesons can then be studied self-consistently in the nonequilibrium dynamical processes. In particular, the discussion for exploring chiral symmetry breaking and its restoration and for studying dynamics of meson production (as collective qqBAR excitations) in heavy-ion collisions is presented.