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Article overview
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The Area Operator in the Spherically Symmetric Sector of Loop Quantum Gravity | M. Bojowald
; H.A. Kastrup
; | Date: |
7 Jul 1999 | Journal: | Class.Quant.Grav. 17 (2000) 3009-3043 | Subject: | hep-th gr-qc | Affiliation: | RWTH Aachen, Germany | Abstract: | Utilizing the previously established general formalism for quantum symmetry reduction in the framework of loop quantum gravity the spectrum of the area operator acting on spherically symmetric states in 4 dimensional pure gravity is investigated. The analysis requires a careful treatment of partial gauge fixing in the classical symmetry reduction and of the reinforcement of SU(2)-gauge invariance for the quantization of the area operator. The eigenvalues of that operator applied to spherically symmetric spin network states have the form A_n propor. sqrt{n(n+2)}, n=0,1,2..., giving A_n propor. n for large n. The result clarifies (and reconciles!) the relationship between the more complicated spectrum of the general (non-symmetric) area operator in loop quantum gravity and the old Bekenstein proposal that A_n propor. n. | Source: | arXiv, hep-th/9907043 | Services: | Forum | Review | PDF | Favorites |
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