6533b839fe1ef96bd12a5bf7
RESEARCH PRODUCT
Dynamics for a simple graph using the U(N) framework for loop quantum gravity
Iñaki GarayLaurent FreidelEtera R. LivineEtera R. LivineJacobo Díaz-poloEnrique F. BorjaEnrique F. Borjasubject
PhysicsHistorySpinorOpen problemFOS: Physical sciencesLoop quantum gravityGeneral Relativity and Quantum Cosmology (gr-qc)Linear-quadratic-Gaussian controlGeneral Relativity and Quantum CosmologySymmetry (physics)Computer Science ApplicationsEducationTheoretical physicsComputer Science::Systems and ControlQuantum gravityddc:530Representation (mathematics)Quantumdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2012-05-16 |