U(N) invariant dynamics for a simplified Loop Quantum Gravity model

Details U(N) invariant dynamics for a simplified Loop Quantum Gravity model U(N) invariant dynamics for a simplified Loop Quantum Gravity model

2010-12-17

arxiv.org/abs/1012.3832v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, to appear in Proceedings of Spanish Relativity Meeting 2010 (ERE 2010) held in Granada, Spain

Scientific paper

The implementation of the dynamics in Loop Quantum Gravity (LQG) is still an open problem. Here, we discuss a tentative dynamics for the simplest class of graphs in LQG: Two vertices linked with an arbitrary number of edges. We use the recently introduced U(N) framework in order to construct SU(2) invariant operators and define a global U(N) symmetry that will select the homogeneous/isotropic states. Finally, we propose a Hamiltonian operator invariant under area-preserving deformations of the boundary surface and we identify possible connections of this model with Loop Quantum Cosmology.

Affiliated with

Also associated with

No associations

Rating

U(N) invariant dynamics for a simplified Loop Quantum Gravity model 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 U(N) invariant dynamics for a simplified Loop Quantum Gravity model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and U(N) invariant dynamics for a simplified Loop Quantum Gravity model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-638579