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arXiv · 2309.00617

Dirac hydrodynamics in 19 forms

Luca Fabbri
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Abstract

We consider the relativistic spinor field theory re-formulated in polar variables so to allow for the interpretation given in terms of fluid variables. After that the dynamics of spinor fields is converted as dynamics of a special type of spin fluid, we demonstrate that such conversion into dynamical spin fluid is not unique but it can be obtained through $19$ different rearrangements, by explicitly showing the $19$ minimal systems of hydrodynamic equations that are equivalent to the Dirac equations.

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Luca Fabbri. 2023-09-03. Dirac hydrodynamics in 19 forms. https://doi.org/10.3390/sym15091685

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