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General Dynamics of Spinors

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Abstract

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 decomposition of the Dirac spinor field equation leads to a set of field equations that are real and where spinorial components have disappeared while still maintaining Lorentz covariance. We will see that the Dirac spinor will contain two real scalar degrees of freedom, the module and the so-called Yvon–Takabayashi angle, and we will display their field equations. This will permit us to study the coupling of curvature and torsion respectively to the module and the YT angle.

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Authors and Affiliations

  1. DIME, Università di Genova, P.Kennedy Pad.D, 16129, Genoa, Italy

    Luca Fabbri

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  1. Luca Fabbri
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Correspondence to Luca Fabbri.

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Communicated by Jayme Vaz

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Fabbri, L. General Dynamics of Spinors. Adv. Appl. Clifford Algebras 27, 2901–2920 (2017). https://doi.org/10.1007/s00006-017-0816-9

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  • DOI: https://doi.org/10.1007/s00006-017-0816-9

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