An 8-dimensional realization of the Clifford algebra in the 5-dimensional Galilean space-time

Simple item page
dc.creatorKobayashi, M.
dc.creatorde Montigny, M.
dc.creatorKhanna, F. C.
dc.date2007-10-30
dc.date.accessioned2026-07-07T11:12:46Z
dc.date.available2026-07-07T11:12:46Z
dc.descriptionWe give an 8-dimensional realization of the Clifford algebra in the 5-dimensional Galilean space-time by using a dimensional reduction from the $(5+1)$ Minkowski space-time to the $(4+1)$ Minkowski space-time which encompasses the Galilean space-time. A set of solutions of the Dirac-type equation in the 5-dimensional Galilean space-time is obtained, based on the Pauli representation of $8\times 8$ gamma matrices. In order to find an explicit solution, we diagonalize the Klein-Gordon divisor by using the Galilean boost.
dc.description32 pages, no figure
dc.identifierhttps://arxiv.org/abs/0710.5556
dc.identifierhttp://arxiv.org/abs/0710.5556
dc.identifierJ.Phys.A41:125402,2008
dc.identifierdoi:10.1088/1751-8113/41/12/125402
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/191488
dc.subjectHigh Energy Physics - Theory
dc.titleAn 8-dimensional realization of the Clifford algebra in the 5-dimensional Galilean space-time
dc.typetext

Files

Collections

arXiv