Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2002-07-29
J. Math. Phys. 52:012502,2011
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
LaTeX, 14 pages, no figures. v2: corrected a minor issue with the mathematical reasoning, updated references; article is now i
Scientific paper
10.1063/1.3525705
Important characteristics of the loop approach to quantum gravity are a specific choice of the algebra A of observables and of a representation of A on a measure space over the space of generalized connections. This representation is singled out by its elegance and diffeomorphism covariance. Recently, in the context of the quest for semiclassical states, states of the theory in which the quantum gravitational field is close to some classical geometry, it was realized that it might also be worthwhile to study different representations of the algebra A of observables. The content of the present note is the observation that under some mild assumptions, the mathematical structure of representations of A can be analyzed rather effortlessly, to a certain extent: Each representation can be labeled by sets of functions and measures on the space of (generalized) connections that fulfill certain conditions. These considerations are however mostly of mathematical nature. Their physical content remains to be clarified, and physically interesting examples are yet to be constructed.
No associations
LandOfFree
Some results concerning the representation theory of the algebra underlying loop quantum gravity does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Some results concerning the representation theory of the algebra underlying loop quantum gravity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Some results concerning the representation theory of the algebra underlying loop quantum gravity will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-251179