On a Covariant Formulation of the Barbero-Immirzi Connection
| dc.creator | Fatibene, L. | |
| dc.creator | Francaviglia, M. | |
| dc.creator | Rovelli, C. | |
| dc.date | 2007-02-26 | |
| dc.date.accessioned | 2026-07-07T11:21:47Z | |
| dc.date.available | 2026-07-07T11:21:47Z | |
| 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. Such SU(2)-connection locally agrees with the usual BI connection and it 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 | 13 pages | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0702134 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0702134 | |
| dc.identifier | Class.Quant.Grav.24:3055-3066,2007 | |
| dc.identifier | doi:10.1088/0264-9381/24/11/017 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/194365 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | On a Covariant Formulation of the Barbero-Immirzi Connection | |
| dc.type | text |