Bahr B, Thiemann T (2009)
Publication Status: Published
Publication Type: Journal article
Publication year: 2009
Publisher: IOP PUBLISHING LTD
Book Volume: 26
Journal Issue: 4
DOI: 10.1088/0264-9381/26/4/045012
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 (Class. Quantum Grav. 26 045011). 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.
APA:
Bahr, B., & Thiemann, T. (2009). Gauge-invariant coherent states for loop quantum gravity: II. Non-Abelian gauge groups. Classical and Quantum Gravity, 26(4). https://dx.doi.org/10.1088/0264-9381/26/4/045012
MLA:
Bahr, Benjamin, and Thomas Thiemann. "Gauge-invariant coherent states for loop quantum gravity: II. Non-Abelian gauge groups." Classical and Quantum Gravity 26.4 (2009).
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