Necessity of Tensorial Connections for Spinorial Systems
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Publication:6429571
DOI10.1007/S00006-022-01254-8zbMath1511.15019arXiv2303.08051MaRDI QIDQ6429571
Publication date: 4 January 2023
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.
Quantum field theory on curved space or space-time backgrounds (81T20) Spinor and twistor methods applied to problems in quantum theory (81R25) Spin and Spin({}^c) geometry (53C27) Clifford algebras, spinors (15A66) Higher spin theories (81T11) Applications of Clifford algebras to physics, etc. (15A67)
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