Particular boundary condition ensures that a fermion in d=1+5, compactified on a finite disk, manifests in d=1+3 as massless spinor with a charge 1/2, mass protected and chirally coupled to the gauge field
| dc.creator | Borstnik, Norma Susana Mankoc | |
| dc.creator | Nielsen, Holger Bech | |
| dc.date | 2007-10-10 | |
| dc.date.accessioned | 2026-07-07T11:37:57Z | |
| dc.date.available | 2026-07-07T11:37:57Z | |
| dc.description | The genuine Kaluza-Klein-like theories--with no fields in addition to gravity--have difficulties with the existence of massless spinors after the compactification of some space dimensions \cite{witten}. We proposed in previous paper a boundary condition for spinors in d=(1+5) compactified on a flat disk that ensures masslessness of spinors (with all positive half integer charges) in d=(1+3) as well as their chiral coupling to the corresponding background gauge gravitational field. In this paper we study the same toy model, proposing a boundary condition allowing a massless spinor of one handedness and only one charge (1/2) and infinitely many massive spinors of the same charge, allowing disc to be curved. We define the operator of momentum to be Hermitean on the vector space of spinor states--the solutions on a disc with the boundary. | |
| dc.description | 15 pages | |
| dc.identifier | https://arxiv.org/abs/0710.1956 | |
| dc.identifier | http://arxiv.org/abs/0710.1956 | |
| dc.identifier | Phys.Lett.B663:265-269,2008 | |
| dc.identifier | doi:10.1016/j.physletb.2008.04.017 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/199394 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Particular boundary condition ensures that a fermion in d=1+5, compactified on a finite disk, manifests in d=1+3 as massless spinor with a charge 1/2, mass protected and chirally coupled to the gauge field | |
| dc.type | text |