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

Stottmeister A, Thiemann T (2016)

Publication Status: Published

Publication Type: Journal article

Publication year: 2016

Journal

Journal of Mathematical Physics American Institute of Physics (AIP)

Publisher: AMER INST PHYSICS

Book Volume: 57

Journal Issue: 8

DOI: 10.1063/1.4960823

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

Authors with CRIS profile

Alexander Stottmeister Lehrstuhl für Theoretische Physik Thomas Thiemann Chair for Theoretical Physics III (Quantum Gravity)

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://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).

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