Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2010-05-14
Phys.Rev.D83:104049,2011
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
15 pages, 5 figures
Scientific paper
10.1103/PhysRevD.83.104049
In loop quantum cosmology, the Hamiltonian reduces to a finite difference operator. We study the initial singularity and the large volume limit against the ambiguities in the discretisation and the operator ordering within a homogeneous, isotropic and spatially flat model with the cosmological constant. We find that the absence of the singularity strongly depends on the choice of the operator ordering and the requirement for the absence singles out a very small class of orderings. Moreover we find a general ordering rule required for the absence of the singularity. We also find that the large volume limit naturally recovers a smooth wave function in the discretisation where each step corresponds to a fixed volume increment but not in the one where each step corresponds to a fixed area increment. If loop quantum cosmology is to be a phenomenological realisation of full loop quantum gravity, these results are important to fix the theoretical ambiguities.
Amemiya Fumitoshi
Harada Tomohiro
Shimano Masahiro
Tamaki Takashi
Tanaka Tomo
No associations
LandOfFree
Discretisation parameter and operator ordering in loop quantum cosmology with the cosmological constant 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 Discretisation parameter and operator ordering in loop quantum cosmology with the cosmological constant, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Discretisation parameter and operator ordering in loop quantum cosmology with the cosmological constant will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-519390