Details
| Original language | English |
|---|---|
| Article number | 083509 |
| Journal | Journal of mathematical physics |
| Volume | 57 |
| Issue number | 8 |
| Publication status | Published - 1 Aug 2016 |
| Externally published | Yes |
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 proposedWeyl 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.
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In: Journal of mathematical physics, Vol. 57, No. 8, 083509, 01.08.2016.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Coherent states, quantum gravity, and the Born-Oppenheimer approximation. III.: Applications to loop quantum gravity
AU - Stottmeister, A.
AU - Thiemann, T.
PY - 2016/8/1
Y1 - 2016/8/1
N2 - 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 proposedWeyl 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.
AB - 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 proposedWeyl 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.
UR - http://www.scopus.com/inward/record.url?scp=84983559756&partnerID=8YFLogxK
U2 - 10.1063/1.4960823
DO - 10.1063/1.4960823
M3 - Article
VL - 57
JO - Journal of mathematical physics
JF - Journal of mathematical physics
SN - 0022-2488
IS - 8
M1 - 083509
ER -