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Spinors in polar form

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Abstract

Spinor fields are considered in a generally covariant environment where they can be written in the polar form. The polar form is the one in which spinorial fields are expressed as a module times the exponential of a complex pseudo-phase, and in this form the full spinorial field theory can in turn be expressed by employing only real tensorial quantities. Such a reformulation makes it possible to emphasize properties of the spinorial field theory, and this would enrich our understanding in ways that have never been followed up until this moment.

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Data Availability Statement

This manuscript has associated data in a data repository. [Authors’ comment: Data available at the URL https://arxiv.org/abs/2003.10825.]

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Authors and Affiliations

  1. DIME, Sez. Metodi e Modelli Matematici, Università di Genova, Via all’Opera Pia 15, 16145, Genova, Italy

    Luca Fabbri

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  1. Luca Fabbri
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Correspondence to Luca Fabbri.

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Fabbri, L. Spinors in polar form. Eur. Phys. J. Plus 136, 354 (2021). https://doi.org/10.1140/epjp/s13360-021-01351-w

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  • DOI: https://doi.org/10.1140/epjp/s13360-021-01351-w

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