# Covariant inertial forces for spinors

@article{Fabbri2018CovariantIF, title={Covariant inertial forces for spinors}, author={Luca Fabbri}, journal={The European Physical Journal C}, year={2018}, volume={78}, pages={1-7} }

In this paper we consider the Dirac spinor field in interaction with a background of electrodynamics and torsion-gravity; by performing the polar reduction we acquire the possibility to introduce a new set of objects that have the geometrical status of non-vanishing tensors but which seem to contain the same information of the connection: thus they appear to be describing something that seems like an inertial force but which is also essentially covariant. After a general introduction, we…

## 21 Citations

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## References

SHOWING 1-9 OF 9 REFERENCES

General Dynamics of Spinors

- Physics
- 2017

In this paper, we consider a general twisted-curved space-time hosting Dirac spinors and we take into account the Lorentz covariant polar decomposition of the Dirac spinor field: the corresponding…

REAL SPINOR FIELDS.

- Physics
- 1967

The Dirac equation is expressed entirely in terms of geometrical quantities by providing a geometrical interpretation for the (−1)½ which appears explicitly in the Dirac equation. In the modification…

Foundations Quadrilogy.

- Physics
- 2017

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 fields, and that is…

A generally relativistic gauge classification of the Dirac fields

- Physics
- 2016

We consider generally relativistic gauge transformations for the spinorial fields finding two mutually exclusive but together exhaustive classes in which fermions are placed adding supplementary…

Torsion axial vector and Yvon-Takabayashi angle: zitterbewegung, chirality and all that

- Physics
- 2017

We consider propagating torsion as a completion of gravitation in order to describe the dynamics of curved-twisted space-times filled with Dirac spinorial fields; we discuss interesting relationships…

Classification of Singular Spinor Fields and Other Mass Dimension One Fermions

- Physics
- 2014

We investigate the constraint equations of the Lounesto spinor fields classification and show that it can be used to completely characterize all the singular classes, which are potential…

Clifford Algebras and Spinors

- Mathematics
- 1997

A historical review of spinors is given together with a construction of spinor spaces as minimal left ideals of Clifford algebras. Spinor spaces of euclidean spaces over reals have a natural linear…

Torsion Gravity for Dirac Fields

- Physics, Mathematics
- 2016

In this article we will take into account the most complete back-ground with torsion and curvature, providing the most exhaustive coupling for the Dirac field: we will discuss the integrability of…