Do Small-mass Neutrinos participate in Gauge Transformations?
| Autor: | Kim, Y. S., Maguire Jr, G. Q., Noz, M. E. |
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| Rok vydání: | 2016 |
| Předmět: | |
| Zdroj: | Advances in High Energy Physics Volume 2016, Article ID 1847620 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1155/2016/1847620 |
| Popis: | Neutrino oscillation experiments presently suggest that neutrinos have a small but finite mass. If neutrinos are to have mass, there should be a Lorentz frame in which they can be brought to rest. This paper discusses how Wigner's little groups can be used to distinguish between massive and massless particles. We derive a representation of the SL(2,c) group which separates out the two sets of spinors contained therein. One set is gauge dependent. The other set is gauge-invariant and represents polarized neutrinos. We show that a similar calculation can be done for the Dirac equation. In the large-momentum/zero-mass limit, the Dirac spinors can be separated into large and small components. The large components are gauge invariant, while the small components are not. These small components represent spin-$\frac{1}{2}$ non-zero mass particles. If we renormalize the large components, these gauge invariant spinors again represent the polarization of neutrinos. Massive neutrinos cannot be invariant under gauge transformations. Comment: 15 pages |
| Databáze: | arXiv |
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