Soft amplitudes in hot gauge theories: A general analysis

https://escholarship.org/content/qt7bz1379s/qt7bz1379s.pdf?t=p0uvfo

Quantum transport theory for abelian plasmas

https://cds.cern.ch/record/196730/files/198906017.pdf

Quark-Gluon transport theory☆

We calculate the Wigner function for massive $\mathrm{spin}\text{\ensuremath{-}}1/2$ particles in an inhomogeneous electromagnetic field to leading order in the Planck constant $\ensuremath{\hbar}$. Going beyond leading order in $\ensuremath{\hbar}$ we then derive a generalized Boltzmann equation in which the force exerted by an inhomogeneous electromagnetic field on the particle dipole moment arises naturally. Furthermore, a kinetic equation for this dipole moment is derived. Carefully taking the massless limit we find agreement with previous results. The case of global equilibrium with rotation is also studied. Finally, we outline the derivation of fluid-dynamical equations from the components of the Wigner function. The conservation of total angular momentum is promoted as an additional fluid-dynamical equation of motion. Our framework can be used to study polarization effects induced by vorticity and magnetic field in relativistic heavy-ion collisions.

Kinetic theory for massive spin -1 /2 particles from the Wigner-function formalism

We present the complete first order relativistic quantum kinetic theory with spin for massive fermions derived from the Wigner function formalism in a concise form that shows explicitly how the 32 Wigner equations reduce in practice to 4 independent transport equations. We solve the modified on-shell conditions to obtain the general solution and present the corresponding transport equations in three different forms that are suitable for different purposes. We demonstrate how different spin effects arise from the kinetic theory by calculating the chiral separation effect with mass correction, the chiral anomaly from the axial current and the quantum magnetic moment density induced by vorticity and magnetic field. We also show how to generate the global polarization effect due to spin vorticity coupling. The formalism presented may serve as a practical theoretical framework to study different spin effects in relativistic fermion systems encountered in different areas such as heavy ion, astro-particle and condensed matter physics as well.

Relativistic quantum kinetic theory for massive fermions and spin effects

Transport Equations for the {QCD} Quark Wigner Operator

https://escholarship.org/content/qt6088p910/qt6088p910.pdf?t=p0llux

H.-Th. Elze

Papers

Transport Equations for the {QCD} Quark Wigner Operator

Transport equations for the QCD gluon Wigner operator