Spin Hydrodynamics and Symmetric Energy-Momentum Tensors -- A current induced by the spin vorticity --
High Energy Physics - Theory
2021-05-12 v1 High Energy Physics - Phenomenology
Abstract
We discuss a puzzle in relativistic spin hydrodynamics; in the previous formulation the spin source from the antisymmetric part of the canonical energy-momentum tensor (EMT) is crucial. The Belinfante improved EMT is pseudo-gauge transformed from the canonical EMT and is usually a physically sensible choice especially when gauge fields are coupled as in magnetohydrodynamics, but the Belinfante EMT has no antisymmetric part. We find that pseudo-transformed entropy currents are physically inequivalent in nonequilibrium situations. We also identify a current induced by the spin vorticity read from the Belinfante symmetric EMT.
Keywords
Cite
@article{arxiv.2010.01608,
title = {Spin Hydrodynamics and Symmetric Energy-Momentum Tensors -- A current induced by the spin vorticity --},
author = {Kenji Fukushima and Shi Pu},
journal= {arXiv preprint arXiv:2010.01608},
year = {2021}
}
Comments
6 pages, no figure