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CHIRALLY INVARIANT TRANSPORT EQUATIONS FOR QUARK MATTER
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Transport equations for quark matter are derived in the mean field approximation for the Nambu -- Jona-Lasinio Lagrangian. Emphasis is put on the chiral limit (zero current quark masses) and the consequences of the chiral symmetry are investigated in detail. Our approach is based on the spinor decomposition of the Wigner function. Kinetic equations for the quark densities and for the spin are derived. We find that the latter is constrained by the requirement of the axial current conservation.
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Kinetic Theory of Quasiparticles, Retarded Correlators and Hydrodynamics
For a massive Maxwell-Boltzmann gas in the relaxation-time approximation, finite mass removes the propagating sound mode, leaving purely imaginary modes, while shear and diffusion modes stay close to the massless results.
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