Giesel K, Thiemann T (2007)
Publication Status: Published
Publication Type: Journal article
Publication year: 2007
Publisher: IOP PUBLISHING LTD
Book Volume: 24
Pages Range: 2499-2564
Journal Issue: 10
DOI: 10.1088/0264-9381/24/10/004
In the previous paper (Giesel and Thiemann 2006 Conceptual setup Preprint gr-qc/0607099) a new combinatorial and thus purely algebraical approach to quantum gravity, called algebraic quantum gravity (AQG), was introduced. In the framework of AQG, existing semiclassical tools can be applied to operators that encode the dynamics of AQG such as the master constraint operator. In this paper, we will analyse the semiclassical limit of the (extended) algebraic master constraint operator and show that it reproduces the correct infinitesimal generators of general relativity. Therefore, the question of whether general relativity is included in the semiclassical sector of the theory, which is still an open problem in LQG, can be significantly improved in the framework of AQG. For the calculations, we will substitute SU(2) with U(1)(3). That this substitution is justified will be demonstrated in the third paper ( Giesel and Thiemann 2006 Semiclassical perturbation theory Preprint gr-qc/0607101) of this series.
APA:
Giesel, K., & Thiemann, T. (2007). Algebraic quantum gravity (AQG): II. Semiclassical analysis. Classical and Quantum Gravity, 24(10), 2499-2564. https://dx.doi.org/10.1088/0264-9381/24/10/004
MLA:
Giesel, Kristina, and Thomas Thiemann. "Algebraic quantum gravity (AQG): II. Semiclassical analysis." Classical and Quantum Gravity 24.10 (2007): 2499-2564.
BibTeX: Download