Clifford Algebra of Nonrelativistic Phase Space and the Concept of Mass
| dc.creator | Zenczykowski, Piotr | |
| dc.date | 2008-06-11 | |
| dc.date.accessioned | 2026-07-07T12:14:43Z | |
| dc.date.available | 2026-07-07T12:14:43Z | |
| dc.description | Prompted by a recent demonstration that the structure of a single quark-lepton generation may be understood via a Dirac-like linearization of the form p^2+x^2, we analyze the corresponding Clifford algebra in some detail. After classifying all elements of this algebra according to their U(1) x SU(3) and SU(2) transformation properties, we identify the element which might be associated with the concept of lepton mass. This element is then transformed into a corresponding element for a single coloured quark. It is shown that - although none of the three thus obtained individual quark mass elements is rotationally invariant - the rotational invariance of the quark mass term is restored when the sum over quark colours is performed. | |
| dc.description | 30 pages | |
| dc.identifier | https://arxiv.org/abs/0806.1823 | |
| dc.identifier | http://arxiv.org/abs/0806.1823 | |
| dc.identifier | J.Phys.A42:045204,2009 | |
| dc.identifier | doi:10.1088/1751-8113/42/4/045204 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/211287 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Clifford Algebra of Nonrelativistic Phase Space and the Concept of Mass | |
| dc.type | text |