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arXiv · 2303.08051

Necessity of Tensorial Connections for Spinorial Systems

Luca Fabbri
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Abstract

We consider spinorial fields in polar form to deduce their respective tensorial connection in various physical situations: we show that in some cases the tensorial connection is a useful tool, instead in other cases it arises as a necessary object. The comparative analysis of the different cases possessing a tensorial connection is done, investigating the analogies between space-time structures. Eventual comments on quantum field theory and specific spinors are given.

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Luca Fabbri. 2023-01-04. Necessity of Tensorial Connections for Spinorial Systems. https://doi.org/10.1007/s00006-022-01254-8

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