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Necessity of Tensorial Connections for Spinorial Systems

Mathematical Physics 2023-03-15 v1 High Energy Physics - Theory math.MP

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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Cite

@article{arxiv.2303.08051,
  title  = {Necessity of Tensorial Connections for Spinorial Systems},
  author = {Luca Fabbri},
  journal= {arXiv preprint arXiv:2303.08051},
  year   = {2023}
}

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10 pages