Spin Hydrodynamics and Symmetric Energy-Momentum Tensors -- A current induced by the spin vorticity --

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.

6 pages, no figure

References in corpus (9)

• Reply to the Comment on "Spin and orbital angular momentum in gauge theories: Nucleon spin structure and multipole radiation revisited" [PRL 100:232002 (2008)]
• Spin and orbital angular momentum in gauge theories: Nucleon spin structure and multipole radiation revisited
• Fate of spin polarization in a relativistic fluid: An entropy-current analysis
• Global polarization measurement in Au+Au collisions
• Local thermodynamical equilibrium and the beta frame for a quantum relativistic fluid
• Thermodynamical inequivalence of quantum stress-energy and spin tensors
• The second law of thermodynamics from symmetry and unitarity
• Recent developments in chiral and spin polarization effects in heavy-ion collisions
• Relativistic hydrodynamics for spin-polarized media

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