Wigner function approach to polarization-vorticity coupling and hydrodynamics with spin
Abstract
Newly introduced equilibrium Wigner functions for particles with spin one-half are used in the semi-classical kinetic equations to study a possible relation between thermal vorticity and spin polarization. It is shown that in global equilibrium both the thermal-vorticity and spin polarization tensors are constant but not necessarily equal. In the case of local equilibrium, we define a procedure leading to hydrodynamic equations with spin. We introduce such equations for the de~Groot, van~Leeuwen, and van~Weert (GLW) formalism as well as for the canonical scheme (these two frameworks differ by the definitions of the energy-momentum and spin tensors). It is found that the GLW and canonical versions are connected by a pseudo-gauge transformation.
Cite
@article{arxiv.1812.00217,
title = {Wigner function approach to polarization-vorticity coupling and hydrodynamics with spin},
author = {Avdhesh Kumar},
journal= {arXiv preprint arXiv:1812.00217},
year = {2022}
}
Comments
8 pages, contribution to the XIII Quark Confinement and the Hadron Spectrum (Confinement2018) conference proceedings