A newly proposed framework of perfect-fluid relativistic hydrodynamics for particles with spin 1/2 is briefly reviewed. The hydrodynamic equations follow entirely from the conservation laws for energy, momentum, and angular momentum. The incorporation of the angular-momentum conservation requires that the spin polarization tensor ωμν is introduced. It plays a role of a Lagrange multiplier conjugated to the spin tensor Sλ,μν. The space-time evolution of the spin polarization tensor depends on the specific form chosen for the spin tensor.
Relativistic hydrodynamics with spin / Florkowski, W.; Friman, B.; Jaiswal, A.; Ryblewski, R.; Speranza, E.. - In: NUCLEAR PHYSICS. A. - ISSN 0375-9474. - ELETTRONICO. - 982:(2019), pp. 523-526. [10.1016/j.nuclphysa.2018.10.010]
Relativistic hydrodynamics with spin
Speranza, E.
2019
Abstract
A newly proposed framework of perfect-fluid relativistic hydrodynamics for particles with spin 1/2 is briefly reviewed. The hydrodynamic equations follow entirely from the conservation laws for energy, momentum, and angular momentum. The incorporation of the angular-momentum conservation requires that the spin polarization tensor ωμν is introduced. It plays a role of a Lagrange multiplier conjugated to the spin tensor Sλ,μν. The space-time evolution of the spin polarization tensor depends on the specific form chosen for the spin tensor.
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