Algebraic quantum gravity (AQG): II. Semiclassical analysis

Giesel K, Thiemann T (2007)


Publication Status: Published

Publication Type: Journal article

Publication year: 2007

Journal

Publisher: IOP PUBLISHING LTD

Book Volume: 24

Pages Range: 2499-2564

Journal Issue: 10

DOI: 10.1088/0264-9381/24/10/004

Abstract

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.

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How to cite

APA:

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

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