3 papers
math-ph2026
Polar Form of the Dirac Operator in Low-Dimensional Space-Times
Luca Fabbri, Giuseppe De Maria
We express in polar form the Dirac operator as left-multiplication by an assigned matrix: we use this technique to find its right-resolvent for low-dimensional spaces.
gr-qc2026
A covariant approach to the Dirac field in LRS space-times: the case of coplanar frames
Stefano Vignolo, Giuseppe De Maria, Sante Carloni +1
We employ the polar decomposition of the Dirac field to describe it as an effective spinorial fluid. We then construct a covariant formalism for the Dirac field that avoi…
math-ph2025
Dirac Fields in Hydrodynamic Form and their Thermodynamic Formulation
Luca Fabbri, Stefano Vignolo, Giuseppe De Maria +1
We consider the theory of spinor fields written in polar form and we re-express it in terms of the so-called covariant splitting: after this is done for the basic k…