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Volume 336 - XIII Quark Confinement and the Hadron Spectrum (Confinement2018) - D: Deconfinement
Wigner function approach to polarization-vorticity coupling and hydrodynamics with spin
A. Kumar
Full text: pdf
Pre-published on: 2019 September 12
Published on: 2019 September 26
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.
DOI: https://doi.org/10.22323/1.336.0281
Open Access
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