Kinematical Foundations of Loop Quantum Cosmology
From MaRDI portal
Publication:2800037
DOI10.1007/978-3-319-26902-3_11zbMath1334.83034arXiv1505.04400OpenAlexW231713002MaRDI QIDQ2800037
Publication date: 14 April 2016
Published in: Quantum Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1505.04400
Relativistic cosmology (83F05) Quantization of the gravitational field (83C45) Axiomatic quantum field theory; operator algebras (81T05) Applications of selfadjoint operator algebras to physics (46L60) Group actions and symmetry properties (58D19) Quantizations, deformations for selfadjoint operator algebras (46L65)
Related Items
Quantum cosmology from group field theory condensates: a review, Loop quantization and symmetry: configuration spaces, Uniqueness of measures in loop quantum cosmology
Cites Work
- Unnamed Item
- Representations of the Weyl algebra in quantum geometry
- Further results on the smoothability of Cauchy hypersurfaces and Cauchy time functions
- Stratification of real analytic mappings and images
- Diffeomorphism-invariant spin network states
- Functional integration on spaces of connections
- Regular connections among generalized connections
- Hyphs and the Ashtekar-Lewandowski measure
- Proof of a conjecture by Lewandowski and Thiemann
- Differential geometry on the space of connections via graphs and projective limits
- Anomaly-free formulation of non-perturbative, four-dimensional Lorentzian quantum gravity
- Non-almost periodicity of parallel transports for homogeneous connections
- Uniqueness of diffeomorphism invariant states on holonomy-flux algebras
- On smooth Cauchy hypersurfaces and Geroch's splitting theorem
- Théorème d'existence pour certains systèmes d'équations aux dérivées partielles non linéaires
- Comment on a paper of Ashtekar and Isham
- On Invariant Connections over a Principal Fibre Bundle
- Algebraic quantum gravity (AQG): I. Conceptual setup
- Quantum Nature of the Big Bang
- On spectral triples in quantum gravity: I
- Group actions on principal bundles and invariance conditions for gauge fields
- Representations of the holonomy algebras of gravity and nonAbelian gauge theories
- Real and complex connections for canonical gravity
- A combinatorial approach to diffeomorphism invariant quantum gauge theories
- Parallel transports in webs
- Symmetry reduction for quantized diffeomorphism-invariant theories of connections
- Is Barbero's Hamiltonian formulation a gauge theory of Lorentzian gravity?
- Isotropic loop quantum cosmology
- Quantum spin dynamics (QSD)
- Background independent quantum gravity: a status report
- Quantization of diffeomorphism invariant theories of connections with local degrees of freedom
- Projective techniques and functional integration for gauge theories
- On the uniqueness of kinematics of loop quantum cosmology
- Piecewise linear loop quantum gravity
- General Relativity