Symmetries of Massive and Massless Neutrinos

Autor:	Kim, Y. S.
Rok vydání:	2016
Předmět:	High Energy Physics - Phenomenology High Energy Physics - Theory Mathematical Physics
Druh dokumentu:	Working Paper
Popis:	Wigner's little groups are subgroups of the Lorentz group dictating the internal space-time symmetries of massive and massless particles. These little groups are like O(3) and E(2) for massive and massless particles respectively. While the geometry of the O(3) symmetry is familiar to us, the geometry of the flat plane cannot explain the E(2)-like symmetry for massless particles. However, the geometry of a circular cylinder can explain the symmetry with the helicity and gauge degrees of freedom. It is shown further that the symmetry of the massless particle can be obtained as a zero-mass limit of O(3)-like symmetry for massive particles. It is shown further that the polarization of massless neutrinos is a consequence of gauge invariance, while the symmetry of massive neutrinos is still like O(3). Comment: 9 pages with 1 fig; presented at the International Conference on Hadron Structure and QCD: from Low to High Energies (Gatchina, Russia, 2016); to be published in the proceedings
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1609.07095 Zobrazit plný text záznamu View this record from Arxiv