Gauge-invariant coherent states for Loop Quantum Gravity II: Non-abelian gauge groups
| dc.creator | Bahr, Benjamin | |
| dc.creator | Thiemann, Thomas | |
| dc.date | 2007-09-28 | |
| dc.date.accessioned | 2026-07-07T12:40:06Z | |
| dc.date.available | 2026-07-07T12:40:06Z | |
| dc.description | This is the second paper concerning gauge-invariant coherent states for Loop Quantum Gravity. Here, we deal with the gauge group SU(2), this being a significant complication compared to the abelian U(1) case encountered in the previous article. We study gauge-invariant coherent states on certain special graphs by analytical and numerical methods. We find that their overlap is Gauss-peaked in gauge-invariant quantities, as long as states are not labeled by degenerate gauge orbits, i.e. points where the gauge-invariant configuration space has singularities. In these cases the overlaps are still concentrated around these points, but the peak profile exhibits a plateau structure. This shows how the semiclassical properties of the states are influenced by the geometry of the gauge-invariant phase space. | |
| dc.description | 60 pages, 8 figures | |
| dc.identifier | https://arxiv.org/abs/0709.4636 | |
| dc.identifier | http://arxiv.org/abs/0709.4636 | |
| dc.identifier | Class.Quant.Grav.26:045012,2009 | |
| dc.identifier | doi:10.1088/0264-9381/26/4/045012 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/219346 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Gauge-invariant coherent states for Loop Quantum Gravity II: Non-abelian gauge groups | |
| dc.type | text |