Dynamics for a simple graph using the U(N) framework for loop quantum gravity

Details Dynamics for a simple graph using the U(N) framework for loop quantum gravity Dynamics for a simple graph using the U(N) framework for loop quantum gravity

2011-10-27

arxiv.org/abs/1110.6017v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages. Proceedings of Loops'11, Madrid. To appear in Journal of Physics: Conference Series (JPCS)

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 find an interesting global U(N) symmetry in this model that selects the homogeneous/isotropic sector. Then, we propose a quantum Hamiltonian operator for this reduced sector. Finally, we introduce the spinor representation for LQG in order to propose a classical effective dynamics for this model.

Affiliated with

Also associated with

No associations

Rating

Dynamics for a simple graph using the U(N) framework for 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 Dynamics for a simple graph using the U(N) framework for loop quantum gravity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dynamics for a simple graph using the U(N) framework for loop quantum gravity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-375724