A proposal for analyzing the classical limit of kinematic loop gravity

Details A proposal for analyzing the classical limit of kinematic loop gravity A proposal for analyzing the classical limit of kinematic loop gravity

2000-01-14

arxiv.org/abs/gr-qc/0001040v2

Class.Quant.Grav. 17 (2000) 4085-4110

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Replaced with substantially revised version

Scientific paper

10.1088/0264-9381/17/19/309

We analyze the classical limit of kinematic loop quantum gravity in which the diffeomorphism and hamiltonian constraints are ignored. We show that there are no quantum states in which the primary variables of the loop approach, namely the SU(2) holonomies along {\em all} possible loops, approximate their classical counterparts. At most a countable number of loops must be specified. To preserve spatial covariance, we choose this set of loops to be based on physical lattices specified by the quasi-classical states themselves. We construct ``macroscopic'' operators based on such lattices and propose that these operators be used to analyze the classical limit. Thus, our aim is to approximate classical data using states in which appropriate macroscopic operators have low quantum fluctuations. Although, in principle, the holonomies of `large' loops on these lattices could be used to analyze the classical limit, we argue that it may be simpler to base the analysis on an alternate set of ``flux'' based operators. We explicitly construct candidate quasi-classical states in 2 spatial dimensions and indicate how these constructions may generalize to 3d. We discuss the less robust aspects of our proposal with a view towards possible modifications. Finally, we show that our proposal also applies to the diffeomorphism invariant Rovelli model which couples a matter reference system to the Hussain Kucha{\v r} model.

Affiliated with

Also associated with

No associations

Rating

A proposal for analyzing the classical limit of kinematic loop 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 A proposal for analyzing the classical limit of kinematic loop gravity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A proposal for analyzing the classical limit of kinematic loop gravity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-700912