13 citations · 14 across the 3 of their papers we have counts for
4 papers
Analytic exact solutions to the nonlinear Dirac equation
Luca Fabbri, Roberto Cianci
We present analytic exact solutions to the nonlinear Dirac equation: they display a ring singularity for the Nambu--Jona-Lasinio nonlinearity and a shell singularity for the Soler…
Spinors beyond Dirac, Weyl and Majorana: the Flag-Dipoles
Luca Fabbri
We recall the Lounesto classification of 1/2-spin spinor fields, based on the vanishing of spinorial bilinear quantities: the classes are the regular spinor fields (i.e. the Dirac…
Euler and Pontryagin currents of the Dirac operator
Luca Fabbri
On differential manifolds with spinor structure, it is possible to express the Euler and Pontryagin currents in terms of tensors that also appear as source in the Dirac equation. I…
Fundamental Theory of Torsion Gravity
Luca Fabbri
In this work we present the general differential geometry of a background in which the space-time has both torsion and curvature with internal symmetries being described by gauge f…