Algebraic quantum gravity (AQG): II. Semiclassical analysis

Journal article

Publication Details

Author(s): Giesel K, Thiemann T
Journal: Classical and Quantum Gravity
Publication year: 2007
Volume: 24
Journal issue: 10
Pages range: 2499-2564
ISSN: 0264-9381


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.

FAU Authors / FAU Editors

Giesel, Kristina Prof. Dr.
Professur für Theoretische Physik
Thiemann, Thomas Prof. Dr.
Chair for Theoretical Physics III (Quantum Gravity)

How to cite

Giesel, K., & Thiemann, T. (2007). Algebraic quantum gravity (AQG): II. Semiclassical analysis. Classical and Quantum Gravity, 24(10), 2499-2564.

Giesel, Kristina, and Thomas Thiemann. "Algebraic quantum gravity (AQG): II. Semiclassical analysis." Classical and Quantum Gravity 24.10 (2007): 2499-2564.


Last updated on 2018-11-08 at 01:11