Spinor calculus for q-deformed quantum spaces II
| dc.creator | Schmidt, Alexander | |
| dc.creator | Wachter, Hartmut | |
| dc.date | 2007-05-11 | |
| dc.date.accessioned | 2026-07-07T08:00:58Z | |
| dc.date.available | 2026-07-07T08:00:58Z | |
| dc.description | This is the second part of an article about q-deformed analogs of spinor calculus. The considerations refer to quantum spaces of physical interest, i.e. q-deformed Euclidean space in three or four dimensions as well as q-deformed Minkowski space. The Clifford algebras corresponding to these quantum spaces are treated. Especially, their commutation relations and their Hopf structures are written down. Bases of the four-dimensional Clifford algebras are constructed and their properties are discussed. Matrix representations of the Clifford algebras lead to q-deformed Dirac-matrices for the four-dimensional quantum spaces. Moreover, q-analogs of the four-dimensional spin matrices are presented. A very complete set of trace relations and rearrangement formulae concerning spin and Dirac-matrices is given. Dirac spinors together with their bilinear covariants are defined. Their behavior under q-deformed Lorentz transformation is discussed in detail. | |
| dc.description | 69 pages, LaTex, no figures | |
| dc.identifier | https://arxiv.org/abs/0705.1675 | |
| dc.identifier | http://arxiv.org/abs/0705.1675 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/128812 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Spinor calculus for q-deformed quantum spaces II | |
| dc.type | text |