Quantum reduced loop gravity: extension to scalar field
arXiv:1506.08579 · doi:10.1103/PhysRevD.92.124029
Abstract
The quantization of the Hamiltonian for a scalar field is performed in the framework of Quantum Reduced Loop Gravity. We outline how the regularization can be performed by using the analogous tools adopted in full Loop Quantum Gravity and the matrix elements of the resulting operator between basis states are analytic coefficients. These achievements open the way for a consistent analysis of the Quantum Gravity corrections to the classical dynamics of gravity in the presence of a scalar field in a cosmological setting.
arXiv comment14 pages, typos corrected
References in corpus (21)
- The Dynamics of General Relativity
- Background Independent Quantum Gravity: A Status Report
- Loop Quantum Cosmology: A Status Report
- Quantum Nature of the Big Bang
- Quantum Spin Dynamics (QSD)
- QSD V : Quantum Gravity as the Natural Regulator of Matter Quantum Field Theories
- Projective Techniques and Functional Integration
- Quantum gravity, shadow states, and quantum mechanics
- A Quantum Gravity Extension of the Inflationary Scenario
- Kinematical Hilbert Spaces for Fermionic and Higgs Quantum Field Theories
- Observational constraints on loop quantum cosmology
- Polymer and Fock representations for a Scalar field
- Quantum-Reduced Loop Gravity: Cosmology
- A new perspective on cosmology in Loop Quantum Gravity
- Quantum Reduced Loop Gravity: Semiclassical limit
- Quantum Reduced Loop Gravity: a realistic Universe
- Observational effects from quantum cosmology
- Quantum-Reduced Loop-Gravity: Relation with the Full Theory
- Background independent quantizations: the scalar field I
- Background independent quantizations: the scalar field II
- Singularity resolution from polymer quantum matter
Cited by in corpus (9)
- Quantum evolution of black hole initial data sets: Foundations
- Quantum Reduced Loop Gravity and the foundation of Loop Quantum Cosmology
- New Hamiltonians for loop quantum cosmology with arbitrary spin representations
- Operators of quantum-reduced loop gravity from the perspective of full loop quantum gravity
- Quantum reduced loop gravity: extension to gauge vector field
- Orthogonal gauge fixing of first order gravity
- Critical Insight into the Cosmological Sector of Loop Quantum Gravity
- Regularization of the cosmological sector of loop quantum gravity with bosonic matter and the related problems with general covariance of quantum corrections
- 2+1 dimensional loop quantum cosmology of Bianchi I models