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U(N) invariant dynamics for a simplified loop quantum gravity model
Jacobo Díaz-poloEtera R. LivineEnrique F. BorjaEnrique F. BorjaIñaki Garaysubject
PhysicsSurface (mathematics)History010308 nuclear & particles physicsOpen problemFOS: Physical sciencesBoundary (topology)General Relativity and Quantum Cosmology (gr-qc)Loop quantum gravityLinear-quadratic-Gaussian control01 natural sciencesGeneral Relativity and Quantum CosmologySymmetry (physics)Computer Science ApplicationsEducation0103 physical sciencesddc:530Invariant (mathematics)010306 general physicsMathematical physicsLoop quantum cosmologydescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2011-09-22 | Journal of Physics: Conference Series |