Global Barbero-Immirzi Connections
| dc.creator | Fatibene, L. | |
| dc.creator | Francaviglia, M. | |
| dc.date | 2009-05-13 | |
| dc.date.accessioned | 2026-07-07T13:14:27Z | |
| dc.date.available | 2026-07-07T13:14:27Z | |
| dc.description | The Barbero-Immirzi (BI) connection, as usually introduced out of a spin connection, is a global object though it does not transform properly as a genuine connection with respect to generic spin transformations, unless quite specific and suitable gauges are imposed. We shall here investigate whether and under which global conditions a (properly transforming and hence global) SU(2)-connection can be canonically defined in a gauge covariant way in such a way that SU(2)-connection locally agrees with the usual BI connection and can be defined on pretty general bundles (in particular triviality is not assumed). As a by-product we shall also introduce a global covariant SU(2)-connection over the whole spacetime (while for technical reasons the BI connection in the standard formulation is just introduced on a space slice) which restricts to the usual BI connection on a space slice. | |
| dc.description | 9 pages | |
| dc.identifier | https://arxiv.org/abs/0905.2031 | |
| dc.identifier | http://arxiv.org/abs/0905.2031 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/230213 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Global Barbero-Immirzi Connections | |
| dc.type | text |