  The total angular momentum is conserved in the evolution of the Quark-Gluon
Plasma (QGP) created in heavy-ion collision, and consists of two sectors: the
orbital angular momentum (OAM) caused by kinetic motion, and the spin, an
intrinsic degree of freedom of quarks and gluons. Microscopic scattering
processes allow the conversion between these two components, hence the spin
density could eventually have non-trivial influence on the QGP evolution. A
hydrodynamic theory, with the spin polarization effect properly taken into
account, is required to quantitatively study the polarization rate for observed
hadrons, e.g. the $\Lambda$-hyperon. In this work, we start with chiral kinetic
theory and construct the spin hydrodynamic framework for a chiral spinor
system. We obtain the equations of motion of second-order dissipative
relativistic fluid dynamics with non-trivial spin polarization density.

Nuclear Theory;High Energy Physics - Phenomenology