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math-ph2026
Dirac Fields in Hydrodynamic Form and their Thermodynamic Formulation
Luca Fabbri, Stefano Vignolo, Giuseppe De Maria +1
The paper rewrites Dirac spinor fields in a polar (hydrodynamic) form using a 1+1+2 covariant split, decomposes the resulting equations, and illustrates the approach with examples…
math-ph2026
A note on spinor fields in spherical symmetry
Stefano Vignolo, Luca Fabbri
By employing the polar re-formulation, we show that there are no solutions of the Dirac equations in spherical symmetry when the spinor is required to satisfy the same symmetries a…
math-ph2025
Polar form of Dirac fields: implementing symmetries via Lie derivative
Luca Fabbri, Stefano Vignolo, Roberto Cianci
We consider the Lie derivative along Killing vector fields of the Dirac relativistic spinors: by using the polar decomposition we acquire the mean to study the implementation of sy…