Quantum-Reduced Loop-Gravity: Relation with the Full Theory
arXiv:1309.6304 · doi:10.1103/PhysRevD.88.104001
Abstract
The quantum-reduced loop-gravity technique has been introduced for dealing with cosmological models. We show that it can be applied rather generically: anytime the spatial metric can be gauge-fixed to a diagonal form. The technique selects states based on reduced graphs with Livine-Speziale coherent intertwiners and could simplify the analysis of the dynamics in the full theory.
5 pages
References in corpus (8)
- LQG vertex with finite Immirzi parameter
- A new spinfoam vertex for quantum gravity
- Loop quantization of the Schwarzschild black hole
- Towards Spinfoam Cosmology
- Quantum-Reduced Loop Gravity: Cosmology
- Stepping out of Homogeneity in Loop Quantum Cosmology
- A new perspective on cosmology in Loop Quantum Gravity
- Matrix Elements of Lorentzian Hamiltonian Constraint in LQG
Cited by in corpus (24)
- (b,v)-type variables for black to white hole transitions in effective loop quantum gravity
- Quantum Reduced Loop Gravity: Semiclassical limit
- Quantum evolution of black hole initial data sets: Foundations
- Loop quantum deparametrized Schwarzschild interior and discrete black hole mass
- Quantum Reduced Loop Gravity and the foundation of Loop Quantum Cosmology
- A curvature operator for LQG
- Loop Quantum Gravity
- Quantum Reduced Loop Gravity: a realistic Universe
- Observations on interfacing loop quantum gravity with cosmology
- Quantum reduced loop gravity effective Hamiltonians from a statistical regularization scheme
- Operators of quantum-reduced loop gravity from the perspective of full loop quantum gravity
- Quantum reduced loop gravity: extension to scalar field
- On the polymer quantization of connection theories: graph coherent states
- Scalar curvature operator for quantum-reduced loop gravity
- Dynamics in canonical models of loop quantum gravity
- Quantum reduced loop gravity: extension to gauge vector field
- Cyclic universe from Loop Quantum Gravity
- Critical Insight into the Cosmological Sector of Loop Quantum Gravity
- Master constraint approach to quantum-reduced loop gravity
- Homogeneous-isotropic sector of loop quantum gravity: new approach
- Cosmology in Loop Quantum Gravity: symmetry reduction preserving gauge degrees of freedom
- On the dynamics of single-vertex states in quantum-reduced loop gravity
- On the Role of Fiducial Structures in Minisuperspace Reduction and Quantum Fluctuations in LQC
- 2+1 dimensional loop quantum cosmology of Bianchi I models