Recent progress in the formulation of relativistic hydrodynamics for particles with spin one-
half is reviewed. We start with general arguments advising introduction of a tensor spin …

In this work, we briefly review the progress made in the formulation of hydrodynamics with
spin with emphasis on the application to the relativistic heavy-ion collisions. In particular, we …

We calculate the Wigner function for massive spin-1/2 particles in an inhomogeneous
electromagnetic field to leading order in the Planck constant ℏ. Going beyond leading order …

The concept of the Wigner function is used to construct a semi-classical kinetic theory
describing the evolution of the axial current phase-space density of spin-1 2 particles in the …

We reexamine the azimuthal angle dependence of the local spin polarization of hyperons in
heavy ion collisions at 200 GeV in the framework of the (3+ 1)-dimensional viscous …

We critically compare thermodynamic and kinetic approaches that have been recently used
to study relations between the spin polarization and fluid vorticity in systems consisting of …

We develop a general formalism for the quantum kinetics of chiral fermions in a background
electromagnetic field based on a semiclassical expansion of covariant Wigner functions in …

We propose a microscopic description for the polarization from the first principle through the
spin-orbit coupling in particle collisions. It is based on scatterings of particles as wave …

This book is designed to give a background on the origins and development of Wigner
functions, as well as its mathematical underpinnings. Along the way the authors emphasise …

In this article, there are 18 sections discussing various current topics in the field of relativistic
heavy-ion collisions and related phenomena, which will serve as a snapshot of the current …