Coherent states, quantum gravity, and the Born-Oppenheimer approximation. III.: Applications to loop quantum gravity

Journal article


Publication Details

Author(s): Stottmeister A, Thiemann T
Journal: Journal of Mathematical Physics
Publisher: AMER INST PHYSICS
Publication year: 2016
Volume: 57
Journal issue: 8
ISSN: 0022-2488


Abstract


In this article, the third of three, we analyse how the Weyl quantisation for compact Lie groups presented in the second article of this series fits with the projective-phase space structure of loop quantum gravity-type models. Thus, the proposed Weyl quantisation may serve as the main mathematical tool to implement the program of space adiabatic perturbation theory in such models. As we already argued in our first article, space adiabatic perturbation theory offers an ideal framework to overcome the obstacles that hinder the direct implementation of the conventional Born-Oppenheimer approach in the canonical formulation of loop quantum gravity. Published by AIP



FAU Authors / FAU Editors

Stottmeister, Alexander
Lehrstuhl für Theoretische Physik
Thiemann, Thomas Prof. Dr.
Lehrstuhl für Theoretische Physik


How to cite

APA:
Stottmeister, A., & Thiemann, T. (2016). Coherent states, quantum gravity, and the Born-Oppenheimer approximation. III.: Applications to loop quantum gravity. Journal of Mathematical Physics, 57(8). https://dx.doi.org/10.1063/1.4960823

MLA:
Stottmeister, Alexander, and Thomas Thiemann. "Coherent states, quantum gravity, and the Born-Oppenheimer approximation. III.: Applications to loop quantum gravity." Journal of Mathematical Physics 57.8 (2016).

BibTeX: 

Last updated on 2018-19-04 at 04:10