We provide a pedagogical review article on fundamentals and applications of the quantum
dynamics in strong electromagnetic fields in QED and QCD. The fundamentals include the …

Many novel quantum phenomena emerge in non-equilibrium relativistic quantum matter
under extreme conditions such as strong magnetic fields and rotations. The quantum kinetic …

We derive the Boltzmann equation and the collision kernel for massive spin-1/2 particles,
using the Wigner-function formalism and employing an expansion in powers of ℏ. The …

We derive the collision term in the Boltzmann equation using the equation of motion for the
Wigner function of massive spin-1/2 particles. To next-to-lowest order in ℏ, it contains a …

We derive Boltzmann equations for massive spin-1/2 fermions with local and nonlocal
collision terms from the Kadanoff-Baym equation in the Schwinger-Keldysh formalism …

A bstract We systematically derive the collision term for the axial kinetic theory, a quantum
kinetic theory delineating the coupled dynamics of the vector/axial charges and spin …

We derive a quantum kinetic theory for fermions with arbitrary mass in a background
electromagnetic field using a Wigner-function approach. Since spin of massive fermions is a …

Relativistic heavy-ion collisions create hot quark–gluon plasma as well as very strong
electromagnetic (EM) and fluid vortical fields. The strong EM field and vorticity can induce …

Many-body systems with chiral fermions exhibit anomalous transport phenomena originated
from quantum anomalies. Based on quantum field theory, we derive the kinetic theory for …

The relativistic treatment of spin is a fundamental subject which has an old history. In various
physical contexts it is necessary to separate the relativistic total angular momentum into an …