New variables for classical and quantum gravity in all dimensions: III. Quantum theory

Journal article


Publication Details

Author(s): Bodendorfer N, Thiemann T, Thurn A
Journal: Classical and Quantum Gravity
Publisher: IOP PUBLISHING LTD
Publication year: 2013
Volume: 30
Journal issue: 4
ISSN: 0264-9381


Abstract


We quantize the new connection formulation of (D + 1)-dimensional general relativity developed in our companion papers by loop quantum gravity (LQG) methods. It turns out that all the tools prepared for LQG straightforwardly generalize to the new connection formulation in higher dimensions. The only new challenge is the simplicity constraint. While its 'diagonal' components acting at edges of spin-network functions are easily solved, its 'off-diagonal' components acting at vertices are non-trivial and require a more elaborate treatment.



FAU Authors / FAU Editors

Bodendorfer, Norbert
Lehrstuhl für Theoretische Physik
Thiemann, Thomas Prof. Dr.
Lehrstuhl für Theoretische Physik
Thurn, Andreas
Lehrstuhl für Theoretische Physik


How to cite

APA:
Bodendorfer, N., Thiemann, T., & Thurn, A. (2013). New variables for classical and quantum gravity in all dimensions: III. Quantum theory. Classical and Quantum Gravity, 30(4). https://dx.doi.org/10.1088/0264-9381/30/4/045003

MLA:
Bodendorfer, Norbert, Thomas Thiemann, and Andreas Thurn. "New variables for classical and quantum gravity in all dimensions: III. Quantum theory." Classical and Quantum Gravity 30.4 (2013).

BibTeX: 

Last updated on 2018-19-04 at 04:11