From the 2 of 7 linked papers with an AI index.
7 papers
Polar Form of the Dirac Operator in Low-Dimensional Space-Times
Luca Fabbri, Giuseppe De Maria
The paper rewrites the Dirac operator in a polar form as left‑multiplication by a specific matrix and uses this representation to compute its right‑resolvent in low‑dimensional spa…
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…
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…
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…
Quantized Dirac Fields in torsionful gravity: cosmological implications and links with the dark universe
Antonio Capolupo, Sante Carloni, Luca Fabbri +3
We consider a classical field in square torsion theory as a source of torsion for a quantum fermion field in FLRW metric. In the framework of QFT, we obtain vacuum contributions to…
A covariant approach to the Dirac field in LRS space-times
Stefano Vignolo, Giuseppe De Maria, Luca Fabbri +1
We use the polar decomposition to describe the Dirac field in terms of an effective spinorial fluid. After reformulating all covariant equations in ``spinorial'' signature $(+ -- )…