Dimensional reduction of the Dirac equation in arbitrary spatial dimensions
Lonigro D, Maggi R, Angelone G, Ercolessi E, Facchi P, Marmo G, Pascazio S, Pepe FV (2023)
Publication Type: Journal article
Publication year: 2023
Journal
Book Volume: 138
Article Number: 324
Journal Issue: 4
DOI: 10.1140/epjp/s13360-023-03919-0
Abstract
We investigate the general properties of the dimensional reduction of the Dirac theory, formulated in a Minkowski spacetime with an arbitrary number of spatial dimensions. This is done by applying Hadamard’s method of descent, which consists in conceiving low-dimensional theories as a specialization of high-dimensional ones that are uniform along the additional space coordinate. We show that the Dirac equation reduces to either a single Dirac equation or two decoupled Dirac equations, depending on whether the higher-dimensional manifold has even or odd spatial dimensions, respectively. Furthermore, we construct and discuss an explicit hierarchy of representations in which this procedure becomes manifest and can easily be iterated.
Authors with CRIS profile
Involved external institutions
Università degli Studi di Napoli Federico II
Italy (IT)
University of Bari Aldo Moro / Università degli Studi di Bari Aldo Moro
Italy (IT)
University of Bologna / Università di Bologna
Italy (IT)
Italy (IT)
University of Bari Aldo Moro / Università degli Studi di Bari Aldo Moro
Italy (IT)
University of Bologna / Università di Bologna
Italy (IT)
How to cite
APA:
Lonigro, D., Maggi, R., Angelone, G., Ercolessi, E., Facchi, P., Marmo, G.,... Pepe, F.V. (2023). Dimensional reduction of the Dirac equation in arbitrary spatial dimensions. European Physical Journal Plus, 138(4). https://doi.org/10.1140/epjp/s13360-023-03919-0
MLA:
Lonigro, Davide, et al. "Dimensional reduction of the Dirac equation in arbitrary spatial dimensions." European Physical Journal Plus 138.4 (2023).
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