Quantum Gravity Vacuum and Invariants of Embedded Spin Networks
| dc.creator | Mikovic, A. | |
| dc.date | 2003-01-14 | |
| dc.date | 2003-06-24 | |
| dc.date.accessioned | 2026-07-07T12:30:37Z | |
| dc.date.available | 2026-07-07T12:30:37Z | |
| dc.description | We show that the path integral for the three-dimensional SU(2) BF theory with a Wilson loop or a spin network function inserted can be understood as the Rovelli-Smolin loop transform of a wavefunction in the Ashtekar connection representation, where the wavefunction satisfies the constraints of quantum general relativity with zero cosmological constant. This wavefunction is given as a product of the delta functions of the SU(2) field strength and therefore it can be naturally associated to a flat connection spacetime. The loop transform can be defined rigorously via the quantum SU(2) group, as a spin foam state sum model, so that one obtains invariants of spin networks embedded in a three-manifold. These invariants define a flat connection vacuum state in the q-deformed spin network basis. We then propose a modification of this construction in order to obtain a vacuum state corresponding to the flat metric spacetime. | |
| dc.description | 15 pages, revised version to appear in Class. Quant. Grav | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0301047 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0301047 | |
| dc.identifier | Class.Quant.Grav.20:3483-3492,2003 | |
| dc.identifier | doi:10.1088/0264-9381/20/15/314 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/216182 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Quantum Gravity Vacuum and Invariants of Embedded Spin Networks | |
| dc.type | text |