Are the spectra of geometrical operators in loop quantum gravity really discrete?
From MaRDI portal
Publication:3649939
DOI10.1063/1.3054277zbMath1189.83025arXiv0708.1721OpenAlexW3105638176MaRDI QIDQ3649939
Thomas Thiemann, Bianca Dittrich
Publication date: 7 December 2009
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0708.1721
Related Items
Conformal boundary conditions, loop gravity and the continuum, Quantum cosmology from group field theory condensates: a review, Edge modes of gravity. II: Corner metric and Lorentz charges, Can chaos be observed in quantum gravity?, Combinatorial quantisation of the Euclidean torus universe, Minimal length in quantum gravity and the fate of Lorentz invariance, A new realization of quantum geometry, The length operator in loop quantum gravity, The spin-foam approach to quantum gravity, Big bang singularity resolution in quantum cosmology
Cites Work
- Uniqueness of diffeomorphism invariant states on holonomy-flux algebras
- Three-dimensional loop quantum gravity: coupling to point particles
- Reduced phase space quantization and Dirac observables
- A perturbative approach to Dirac observables and their spacetime algebra
- The Clebsch–Gordan coefficients of the three-dimensional Lorentz algebra in the parabolic basis
- A length operator for canonical quantum gravity
- REMARKS ON TIME-ENERGY UNCERTAINTY RELATIONS
- Spectra of length and area in (2 1) Lorentzian loop quantum gravity
- Quantum spin dynamics (QSD): VI. Quantum Poincaré algebra and a quantum positivity of energy theorem for canonical quantum gravity
- Projective techniques and functional integration for gauge theories
- Properties of the volume operator in loop quantum gravity: I. Results
- Timelike surfaces in Lorentz covariant loop gravity and spin foam models
