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          Institute: MPI für Gravitationsphysik     Collection: Quantum Gravity and Unified Theories     Display Documents



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ID: 404382.0, MPI für Gravitationsphysik / Quantum Gravity and Unified Theories
Gauge-invariant coherent states for loop quantum gravity: II. Non-Abelian gauge groups
Authors:Bahr, Benjamin; Thiemann, Thomas
Date of Publication (YYYY-MM-DD):2009-02-03
Title of Journal:Classical and Quantum Gravity
Volume:26
Issue / Number:4
Sequence Number of Article:045012
Review Status:not specified
Audience:Not Specified
Abstract / 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 (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.
External Publication Status:published
Document Type:Article
Communicated by:Hermann Nicolai
Affiliations:MPI für Gravitationsphysik/Quantum Gravity and Unified Theories
Identifiers:ISSN:0264-9381
DOI:10.1088/0264-9381/26/4/045012
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