Charge quantization from a number operator
| Autor: | Furey, C. |
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| Rok vydání: | 2016 |
| Předmět: | |
| Zdroj: | Phys.Lett.B, 742 (2015), pp. 195-199 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1016/j.physletb.2015.01.023 |
| Popis: | We explain how an unexpected algebraic structure, the division algebras, can be seen to underlie a generation of quarks and leptons. From this new vantage point, electrons and quarks are simply excitations from the neutrino, which formally plays the role of a vacuum state. Using the ladder operators which exist within the system, we build a number operator in the usual way. It turns out that this number operator, divided by 3, mirrors the behaviour of electric charge. As a result, we see that electric charge is quantized because number operators can only take on integer values. Finally, we show that a simple hermitian form, built from these ladder operators, results uniquely in the nine generators of $SU(3)_c$ and $U(1)_{em}$. This gives a direct route to the two unbroken gauge symmetries of the standard model. Comment: 6 pages, 2 figures; v2 reworded a paragraph in the introduction, updated references |
| Databáze: | arXiv |
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