From Chiral Kinetic Theory To Spin Hydrodynamics

Abstract

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.

4 pages, contribution to the proceeding of XXVIIIth International Conference on Ultrarelativistic Nucleus-Nucleus Collisions (Quark Matter 2019)

References in corpus (3)

• Dissipative relativistic fluid dynamics: a new way to derive the equations of motion from kinetic theory
• Collective longitudinal polarization in relativistic heavy-ion collisions at very high energy
• Collisions in Chiral Kinetic Theory

Cited by in corpus (13)

• From Chiral Kinetic Theory To Relativistic Viscous Spin Hydrodynamics
• Foundations and Applications of Quantum Kinetic Theory
• Analytic solutions of relativistic dissipative spin hydrodynamics with Bjorken expansion
• Local and global polarization of $\Lambda$ hyperons across RHIC-BES energies: the roles of spin hall effect, initial condition and baryon diffusion
• Quantum kinetic theory for dynamical spin polarization from QED-type interaction
• Analytic solutions of relativistic dissipative spin hydrodynamics with radial expansion in Gubser flow
• Hydrodynamic helicity polarization in relativistic heavy ion collisions
• Anomalous magnetohydrodynamics with temperature-dependent electric conductivity and application to the global polarization
• Hyperon polarization and its relation with directed flow in high-energy nuclear collisions
• Linear response hydrodynamics of a relativistic dissipative fluid with spin
• Berry phase in the phase space worldline representation: the axial anomaly and classical kinetic theory
• Recent developments in chiral and spin polarization effects in heavy-ion collisions
• Chirality and Magnetic Field