Quantum transport theory with vector interaction

TL;DR

This paper derives a relativistic quantum kinetic equation for massless fermions with vector interactions, incorporating vorticity, shear, and particle number divergence effects, advancing understanding of quantum transport phenomena.

Contribution

It introduces a self-consistent derivation of the quantum kinetic equation for massless fermions with vector and axial vector interactions, including new effects like particle number divergence.

Findings

Kinetic equations include vorticity and shear contributions.

Divergence of local particle number density affects the kinetic equations.

Equilibrium conditions are discussed up to first order in h.

Abstract

We derive the relativistic quantum kinetic equation for massless fermions with vector and axial vector interaction using the Wigner function formalism. The vector and axial vector currents are self-consistently treated with corresponding constraint equations. The kinetic equations are derived and the condition for equilibrium is discussed up to the first order of $\hbar$. In addition to the vorticity and shear contributions, the divergence of the local particle number density is also found to contribute to the kinetic equations.