Transport theory of relativistic heavy-ion collisions with chiral symmetry

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Abstract
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 qq¯ excitations) in heavy-ion collisions is presented.