We review the present status of the search for a phase transition and critical point as well as
anomalous transport phenomena in Quantum Chromodynamics (QCD), with an emphasis …

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 …

Abstract The Beam Energy Scan Theory (BEST) Collaboration was formed with the goal of
providing a theoretical framework for analyzing data from the Beam Energy Scan (BES) …

Recently, there has been significant interest in understanding the macroscopic quantum
transport in a many-body system of chiral fermions. A natural framework for describing such …

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 …

The Wigner function was formulated in 1932 by Eugene Paul Wigner, at a time when
quantum mechanics was in its infancy. In doing so, he brought phase space representations …

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 …

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 …

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

The microscopic quantum nature of elementary particles, chirality, leads to macroscopic
phenomena like the chiral anomaly, chiral magnetic effect, and chiral plasma instability. We …