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Pseudo-gauges and relativistic spin hydrodynamics for interacting Dirac and Proca fields
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We present the explicit expressions of different pseudo-gauge transformations for Dirac and Proca fields considering a general interaction term. The particular case of the interaction of Dirac and Proca fields with a background electromagnetic field is also studied. Starting from the quantum kinetic theory with collisions derived from the Wigner-function formalism for massive spin-1/2 and spin-1 particles, we establish a connection between different pseudo-gauges and relativistic spin hydrodynamics. The physical implications of the various decompositions of orbital and spin angular momentum are discussed.
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Cited by 1 Pith paper
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Spin polarization of an expanding and rotating system
Derives closed equations for spin moments and a first-order longitudinal polarization formula for a boost-invariant, rotating relativistic fluid, connecting free streaming to hydrodynamics.
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