"Minimal geometric data" approach to Dirac algebra, spinor groups and field theories
| dc.creator | Canarutto, Daniel | |
| dc.date | 2007-03-01 | |
| dc.date | 2008-02-14 | |
| dc.date.accessioned | 2026-07-07T10:38:18Z | |
| dc.date.available | 2026-07-07T10:38:18Z | |
| dc.description | The three first sections contain an updated, not-so-short account of a partly original approach to spinor geometry and field theories introduced by Jadczyk and myself; it is based on an intrisic treatment of 2-spinor geometry in which the needed background structures do not need to be assumed, but rather arise naturally from a unique geometric datum: a vector bundle with complex 2-dimensional fibres over a real 4-dimensional manifold. The two following sections deal with Dirac algebra and 4-spinor groups in terms of two spinors, showing various aspects of spinor geometry from a different perspective. The last section examines particle momenta in 2-spinor terms and the bundle structure of 4-spinor space over momentum space. | |
| dc.description | 33 pages, typos corrected and one inexact statement eliminated | |
| dc.identifier | https://arxiv.org/abs/math-ph/0703003 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0703003 | |
| dc.identifier | Int.J.Geom.Meth.Mod.Phys.4:1005-1040,2007 | |
| dc.identifier | doi:10.1142/S0219887807002417 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/180672 | |
| dc.subject | Mathematical Physics | |
| dc.subject | 15A66; 83C22 | |
| dc.title | "Minimal geometric data" approach to Dirac algebra, spinor groups and field theories | |
| dc.type | text |