Spin hydrodynamics and symmetric energy-momentum tensors – A current induced by the spin vorticity –
Kenji Fukushima, Shi Pu
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.
Topics & Concepts
PhysicsAntisymmetric relationEnergy currentVorticityAngular momentumSpin (aerodynamics)Antisymmetric tensorTensor (intrinsic definition)Quantum electrodynamicsClassical mechanicsGauge theoryQuantum mechanicsMathematical physicsEnergy (signal processing)MechanicsVortexMathematicsThermodynamicsPure mathematicsHigh-Energy Particle Collisions ResearchBlack Holes and Theoretical PhysicsQuantum Chromodynamics and Particle Interactions