A Lorentzian version of the non-commutative geometry of the standard model of particle physics
| dc.creator | Barrett, John W. | |
| dc.date | 2006-08-31 | |
| dc.date | 2006-11-06 | |
| dc.date.accessioned | 2026-07-07T11:07:11Z | |
| dc.date.available | 2026-07-07T11:07:11Z | |
| dc.description | A formulation of the non-commutative geometry for the standard model of particle physics with a Lorentzian signature metric is presented. The elimination of the fermion doubling in the Lorentzian case is achieved by a modification of Connes' internal space geometry so that it has signature 6 (mod 8) rather than 0. The fermionic part of the Connes-Chamseddine spectral action can be formulated, and it is shown that it allows an extension with right-handed neutrinos and the correct mass terms for the see-saw mechanism of neutrino mass generation. | |
| dc.description | Approx. 14 pages. v2: minor corrections; conclusions unaffected | |
| dc.identifier | https://arxiv.org/abs/hep-th/0608221 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0608221 | |
| dc.identifier | J.Math.Phys.48:012303,2007 | |
| dc.identifier | doi:10.1063/1.2408400 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/189761 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Operator Algebras | |
| dc.subject | Quantum Algebra | |
| dc.title | A Lorentzian version of the non-commutative geometry of the standard model of particle physics | |
| dc.type | text |