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arXiv · 2204.01797

Pseudo-gauges and relativistic spin hydrodynamics for interacting Dirac and Proca fields

Nora Weickgenannt·David Wagner·Enrico Speranza
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Abstract

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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Nora Weickgenannt, David Wagner, Enrico Speranza. 2022-04-04. Pseudo-gauges and relativistic spin hydrodynamics for interacting Dirac and Proca fields. https://doi.org/10.1103/physrevd.105.116026

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