Implications of the gauge-fixing in Loop Quantum Cosmology

Details Implications of the gauge-fixing in Loop Quantum Cosmology Implications of the gauge-fixing in Loop Quantum Cosmology

2011-04-23

arxiv.org/abs/1104.4546v3

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages, accepted for publication in Physical Review D

Scientific paper

The restriction to invariant connections in a Friedmann-Robertson-Walker space-time is discussed via the analysis of the Dirac brackets associated with the corresponding gauge fixing. This analysis allows us to establish the proper correspondence between reduced and un-reduced variables. In this respect, it is outlined how the holonomy-flux algebra coincides with the one of Loop Quantum Gravity if edges are parallel to simplicial vectors and the quantization of the model is performed via standard techniques by restricting admissible paths. Within this scheme, the discretization of the area spectrum is emphasized. Then, the role of the diffeomorphisms generator in reduced phase-space is investigated and it is clarified how it implements homogeneity on quantum states, which are defined over cubical knots. Finally, the perspectives for a consistent dynamical treatment are discussed.

Affiliated with

Also associated with

No associations

Rating

Implications of the gauge-fixing in Loop Quantum Cosmology 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 Implications of the gauge-fixing in Loop Quantum Cosmology, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Implications of the gauge-fixing in Loop Quantum Cosmology will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-484205